UNITED STATES
                          SECURITIES AND EXCHANGE COMMISSION
                                Washington, D.C. 20549

                                     SCHEDULE 13D

                      Under the Securities Exchange Act of 1934


                           DIAMOND OFFSHORE DRILLING, INC.
                                   (Name of Issuer)

                            COMMON STOCK, PAR VALUE $0.01
                            (Title of Class of Securities)

                                   (SINS) 25271C102
                                    (CUSIP Number)

                Jean-Paul Kill, c/o Alphee S.A., 11 Avenue De La Gare,
             Grand Duchy of Luxembourg; Tel. 352-482850; Fax. 352-482871.
               (Name, Address and Telephone Number of Person Authorized
                        to Receive Notices and Communications)

                                    April 29, 1996
               (Date of Event which Requires Filing of this Statement)


          If the filing person has previously filed a statement on Schedule
          13G to report the acquisition which is the subject of this
          Schedule 13D, and is filing this schedule because of Rule 13d-
          1(b)(3) or (4), check the following box (   ).

          Check the following box if a fee is being paid with the statement
          ( X ).  (A fee is not required only if the reporting person:  (1)
          has a previous statement on file reporting beneficial ownership
          of more than five percent of the class of securities described in
          Item 1; and (2) has filed no amendment subsequent thereto
          reporting beneficial ownership of five percent or less of such
          class.)  (See Rule 13D-7.)

          Note:  Six copies of this statement, including all exhibits,
          should be filed with the Commission.  See Rule 13d-1(a) for other
          parties to whom copies are to be sent.

          *The remainder of this cover page shall be filled out for a
          reporting person's initial filing on this form with respect to
          the subject class of securities, and for any subsequent amendment
          containing information which would alter disclosures provided in
          a prior cover page.

          The information required on the remainder of this cover page
          shall not be deemed to be "filed" for the purpose of Section 18
          of the Securities Exchange Act of 1934 ("Act") or otherwise
          subject to the liabilities of that section of the Act but shall
          be subject to all other provisions of the Act (however, see the
          Notes). 
 





          SCHEDULE 13D

           CUSIP No.      
           (SINS) 25271C102 
           ----------------------------------------------------------------
           1     NAME OF REPORTING PERSON:  

                 Alphee S.A.
           ----------------------------------------------------------------
           2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                (a) (   )
                                                                (b) ( X )
           ----------------------------------------------------------------
           3     SEC USE ONLY

           ----------------------------------------------------------------
           4     SOURCE OF FUNDS* 
                   
                            OO
           ----------------------------------------------------------------
           5     CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
                 PURSUANT TO ITEMS 2(d) or 2(e) (   )

           ----------------------------------------------------------------
           6     CITIZENSHIP OR PLACE OF ORGANIZATION
                  
                      Luxembourg
           ----------------------------------------------------------------
             NUMBER OF   7      SOLE VOTING POWER
              SHARES
           BENEFICIALLY         4,708,248
             OWNED BY
               EACH
             REPORTING
              PERSON
               WITH
                         --------------------------------------------------
                         8      SHARED VOTING POWER

                         --------------------------------------------------
                         9      SOLE DISPOSITIVE POWER

                                4,708,248
                         --------------------------------------------------
                         10     SHARED DISPOSITIVE POWER

           ----------------------------------------------------------------
           11    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
                 PERSON

                 4,708,248
           ----------------------------------------------------------------
           12    CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
                 CERTAIN SHARES*        (   )    

           ----------------------------------------------------------------
           13    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

                 6.9% 
           ----------------------------------------------------------------
           14    TYPE OF REPORTING PERSON*

                 CO
           ----------------------------------------------------------------
          *SEE INSTRUCTIONS BEFORE FILLING OUT!
          INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-
          7(INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE
          ATTESTATION. 
 




               SCHEDULE 13D

          Item 1.   Security and Issuer.

                    This statement is filed in respect of shares of common
          stock, par value $0.01 per share ("Common Stock") of Diamond
          Offshore Drilling, Inc., a Delaware corporation (the "Issuer").


          Item 2.   Identity and Background.

                    The person filing this statement is Alphee S.A., a
          Luxembourg corporation ("Alphee"), whose principal business
          office is located at 11, Avenue de la Gare, Luxembourg.  The sole
          business of Alphee from its organization to the date of this
          statement has been the acquisition and ownership of shares of par
          value $0.10 per share (the "AOL Shares") of Arethusa (Off-Shore)
          Limited ("AOL"), a Bermuda company that, on April 29, 1996,
          amalgamated with and into an indirect wholly-owned subsidiary of
          the Issuer.  Pursuant to the amalgamation AOL Shares were
          cancelled and shares of Common Stock were issued in exchange
          therefor and Alphee acquired, in exchange for its AOL Shares, an
          aggregate of 4,708,248 shares of Common Stock.  The names,
          addresses, occupations and citizenship of the executive officers
          and directors of Alphee are set forth on Annex A hereto.  Neither
          Alphee, nor to the best of its knowledge, any of its executive
          officers and directors listed on Annex A hereto has, during the
          past five years, been convicted in a criminal proceeding
          (excluding traffic violations or similar misdemeanors) or been a 
          party to a civil proceeding of a judicial or administrative body
          of competent jurisdiction and as a result of such proceeding was
          or is subject to a judgment, decree or final order enjoining
          future violations of, or prohibiting or mandating activities
          subject to, Federal or State securities laws or finding any
          violation with respect to such laws.

                    Pursuant to General Instruction "C" for Schedule 13D,
          set forth below is certain information concerning (i) the
          corporations in the chain of control of Alphee and (ii) each
          executive officer and director of the corporation that ultimately
          controls Alphee.

                    Alphee is a wholly-owned subsidiary of International
          Maritime Investors S.A. ("IMI"), a Luxembourg corporation, whose
          principal office and business is located at 11, Avenue de la
          Gare, Luxembourg.  IMI's principal business is to act as a 
          holding company.  IMI is a wholly-owned subsidiary of CMB N.V.
          ("CMB"), a publicly held Belgian corporation whose principal
          office and business is located at De Gerlachekaai 20, B-2000
          Antwerpen, Belgium.  CMB's principal business is transport and
          shipping.

                    A controlling interest in CMB is owned by Almabo N.V.
          ("Almabo"), a Belgian corporation whose principal office and
          business is located at De Gerlachekaai 20, B-2000 Antwerpen,
          Belgium.  Almabo's principal business is to act as a holding
          company.  The names, addresses, occupations and citizenship of
          the executive officers and directors of Almabo are set forth on
          Annex A hereto.  To the best of Alphee's knowledge, neither
          Almabo, CMB, IMI, nor any of Almabo's executive officers and
          directors listed on Annex A hereto has, during the past five
          years, been convicted in a criminal proceeding (excluding traffic
          violations or similar misdemeanors) or been a party to a civil
          proceeding of a judicial or administrative body of competent
          jurisdiction and as a result of such proceeding was or is subject
          to a judgment, decree or final order enjoining future violations
          of, or prohibiting or mandating activities subject to, Federal or
          State securities laws or finding any violation with respect to
          such laws.

                    Philippe Saverys serves as Chairman of the board of
          directors of Almabo.  His son, Nicolas Saverys, is a director of
          Almabo.  The Messrs. Saverys may be deemed, individually or
          jointly, to be beneficial owners of the shares of Common Stock
          held by Alphee.  However, the Messrs. Saverys disclaim any such
          beneficial ownership pursuant to Rule 13d-4 under the Securities
          Exchange Act of 1934, as amended.

                    The transaction giving rise to the requirement to file
          this statement was the amalgamation (the "Amalgamation") of AOL
          with and into AO Acquisition Limited, a Bermuda company and
          indirect wholly-owned subsidiary of the Issuer ("Acquisition
          Sub").  The Amalgamation was effected in accordance with a plan
          of acquisition dated February 9, 1996 (the "Plan") by and among
          the Issuer, Diamond Offshore (USA) Inc., a Delaware corporation
          and direct wholly-owned subsidiary of the Issuer ("Parent"),
          Acquisition Sub and AOL and an amalgamation agreement dated
          February 9, 1996 (the "Amalgamation Agreement").  Pursuant to the
          Plan, the Amalgamation Agreement and applicable Bermuda law, upon
          the effectiveness of the Amalgamation, outstanding AOL Shares
          were cancelled and holders of AOL Shares became entitled to
          receive 0.88 shares of Common Stock for each AOL Share formerly
          held by them.  On April 29, 1996, the Amalgamation was
          consummated and Alphee acquired, in exchange for its AOL Shares,
          4,708,248 shares of Common Stock, representing approximately 6.9%
          of the total issued and outstanding shares of Common Stock and
          requiring the filing of this statement.


          Item 3.   Source and Amount of Funds.

                    No funds were required for the acquisition by Alphee of
          the shares of Common Stock that are the subject of this
          statement.  Such shares were received in consideration of the AOL
          Shares owned by Alphee prior to the Amalgamation, which were
          cancelled in the Amalgamation.


          Item 4.   Purpose of Transaction. 

                    As a majority shareholder in AOL, Alphee encouraged AOL
          in the decision to enter into the negotiations with the Issuer
          that resulted in the Amalgamation.  In addition, Alphee, together
          with Ratos (as defined below), entered into a Shareholders
          Agreement with the Issuer dated February 9, 1996 (the
          "Shareholders Agreement"), pursuant to which the Issuer received 
          from each of Alphee and Ratos an irrevocable proxy to vote all of
          the AOL Shares held by them and any shares as to which either had
          the power to vote in favor of the Amalgamation.

                    Alphee has not acquired the Common Stock with a view to
          acquiring a controlling interest in the Issuer.  Pursuant to the
          Shareholders Agreement the Issuer granted to Alphee, together
          with Ratos, certain registration rights with respect to the
          Common Stock received by Alphee and Ratos in the Amalgamation
          entitling each of Alphee and Ratos to effect resales of the
          Common Stock held by it from time to time, through brokers or
          through underwritten offerings.  Under the Shareholders Agreement
          the Issuer agreed for the benefit of Alphee and Ratos to use its
          best efforts (i) to cause the Issuer's registration statement No.
          333-2680 on Forms S-4/S-1 filed in connection with the joint
          proxy statement distributed to shareholders of AOL and the Issuer
          describing the proposed Amalgamation (the "Registration
          Statement") to include a prospectus (the "Prospectus") intended
          to permit each of Alphee and Ratos to sell after the effective
          date thereof (the "Effective Time") without restriction, at its
          election, all or part of the shares of Common Stock received by
          it in connection with the Amalgamation and (ii) to maintain the
          continued effectiveness of the Registration Statement with
          respect to such shares, including the Prospectus for use by
          Alphee and Ratos, for a period of two years from the Effective
          Time.  At present, it is Alphee's intention, which intention is
          subject to change at any time, to effect resales of the Common
          Stock held by it from time to time through brokers or through
          underwritten offerings.  Alphee and Ratos have notified the
          Issuer that they have engaged Merrill Lynch & Co. as lead manager
          in a proposed underwritten secondary offering of up to 4,658,207 
          and 3,617,207 shares of Common Stock of Alphee and Ratos,
          respectively.  The underwriting arrangements between Alphee and
          Ratos and the underwriters will be set forth in purchase
          agreements based upon Merrill Lynch & Co.'s customary form for
          similar offerings, as further described in the preliminary
          prospectus supplement dated April 30, 1996 (the "Preliminary
          Prospectus Supplement") with respect to the proposed underwritten
          secondary offering.  The terms of the underwriting and the timing
          of the proposed offering are subject to negotiation among Alphee,
          Ratos and the underwriters and to other forces beyond Alphee's
          control, including share price and other market conditions, and
          there can be no assurance that the offering as currently proposed
          will ultimately be effected in part or in whole.

                    Except as set forth above, Alphee does not have any
          plans or proposals that would relate to or result in any of the
          actions set forth in the instruction for Item 4, subparts (a)
          through (j).


          Item 5.   Interest in Securities of Issuer.

                    (a) - (b)  Alphee beneficially owns 4,708,248 shares of
          Common Stock representing 6.9% of the outstanding Common Stock,
          based on the Issuer's most recent filing with the Commission. 
          Alphee has sole power to vote and to dispose of the shares of
          Common Stock owned by Alphee.   Almabo is the ultimate beneficial
          owner of the shares of Common Stock held by Alphee, although as
          described under Item 2 above, Philippe Saverys and/or Nicolas
          Saverys, respectively, the Chairman and a director of Almabo, may
          be deemed to be, individually or jointly, the beneficial owners
          of the shares of Common Stock held by Alphee.  The Messrs.
          Saverys disclaim any such beneficial ownership.

                    To the best of Alphee's knowledge, Forvaltnings AB
          Ratos ("Ratos"), a Swedish corporation whose principal office and
          place of business is located at Drottningsgatan 2 Stockholm,
          Sweden, owns an aggregate of 3,667,207 shares of Common Stock on
          the date hereof, representing 5.4% of the outstanding Common
          Stock.  Ratos acquired such shares pursuant to the Amalgamation.

                    Based on the Shareholders Agreement Alphee and Ratos
          may be deemed to be a group for purposes of their respective
          beneficial ownership of Common Stock.  However, Alphee disclaims
          membership in a group with Ratos for purposes of their respective
          beneficial ownership of Common Stock and disclaims beneficial
          ownership of any shares of Common Stock held by Ratos.

                    To the best knowledge of Alphee, except for Ratos, none
          of the persons named in Item 2 has the sole or shared power to
          vote or the sole or shared power to dispose of any shares of
          Common Stock.

                    (c)  Alphee has not sold any shares of Common Stock. 
          To the best knowledge of Alphee, no transactions in shares of
          Common Stock were effected during the past 60 days by any other
          person identified in Item 2.

                    (d) - (e)  Not Applicable.


          Item 6.   Contracts, Arrangements, Understandings or
          Relationships With Respect to Securities of the Issuer.

                    Alphee, together with Ratos, has entered into a
          Shareholders Agreement with Diamond, as described in Item 4
          above, a copy of which was filed as Exhibit 10.5 to the
          Registration Statement.

                    At the request of Alphee and Ratos, the Issuer has
          prepared the Preliminary Prospectus Supplement for use in
          connection with a proposed underwritten offering by Alphee and
          Ratos of up to 4,658,248 and 3,617,207 shares of Common Stock,
          respectively, including exercise by the underwriters of over-
          allotment options granted by Alphee and Ratos.

                    To the best knowledge of Alphee, no other contracts,
          arrangements, understandings or relationships with respect to the
          shares of Common Stock exist between or among the persons named
          in Item 2.


          Item 7.   Exhibits.

                    None.
           
 


               ANNEX A

          EXECUTIVE OFFICERS AND DIRECTORS 
          OF
          ALPHEE AND ALMABO

               The names of the members of the boards of directors and
          Executive Officers of Alphee S.A. and Almabo N.V. and their
          present principal occupations are set forth below.  Unless
          otherwise indicated, each individual is a citizen of the Kingdom
          of Belgium and the business address of each person is De
          Gerlachekaai, 20, 2000 Antwerpen, Belgium. 

           
          1.   ALPHEE S.A.
               11, Avenue de la Gare
               Luxembourg
            
          Name and Position Held        Principal Occupations

          Nicolas Saverys               Director of Almabo,
          - Director                    CMB and Alphee

          Ludwig Criel                  Director of Almabo,
          - Director                    CMB, IMI and Alphee

          Jean-Paul Kill                Director of IMI and
          11, Avenue De La Gare         Alphee
          Luxembourg
          Nationality:  Luxembourg
          - Director

          Ludo Beersman                 Director of Alphee,
          - Director                    Employee of CMB

          Philippe Waterkeyn            Director of Alphee,
          - Director                    Employee of CMB

          Patrick de Brabandere         Director of Alphee,
          - Director                    Employee of CMB

          Wim Dekeyser                  Director of Alphee,
          - Director                    Employee of CMB

          Erwin Joos                    Director of Alphee,
          - Director                    Employee of CMB

          Frank Geerts                  Director of Alphee,
          - Director                    Employee of CMB

          Karel Stes                    Director of Alphee,
          - Director                    Employee of CMB

          Peter Raes                    Director of Alphee,
          - Director                    Employee of CMB

          Leo Cappoen                   Director of Alphee,
          - Director                    Employee of CMB

          Ole Gjostol                   Director of Alphee,
          - Director                    Employee of CMB

          Philippe Scharpe              Director of Alphee,
          - Director                    Employee of CMB

          Jean-Pierre Massart           Director of Alphee,
          - Director                    Employee of CMB

          Dirk Oylslager                Director of Alphee,
          - Director                    Employee of CMB

           
 

          2.   ALMABO
               De Gerlachekaai, 20
               2000 Antwerpen, Belgium

          Name and Position Held        Principal Occupations

          Philippe Saverys              Director of Almabo,
          - Director                    CMB and IMI

          Nicolas Saverys               Director of Almabo,
          - Director                    CMB and Alphee

          Marc Saverys                  Director of Almabo and
          - Director                    CMB

          Virginie Saverys              Director of Almabo 
          - Director                    and CMB

          Ludwig Criel                  Director of Almabo,
          - Director                    CMB, IMI and Alphee

          Guy De Brabandere             Director of Almabo
          - Director

          Yves Brasseur                 Director of Almabo
          - Director

          Didier Vleurinck              Director of Almabo
          - Director                    and CMB

          Jacques Van Damme             Director of Almabo
          - Director                    and CMB
           
 


               SIGNATURE

               After reasonable inquiry and to the best of my knowledge and
          belief, I certify that the information set forth in this
          statement is true, complete and correct.

                                   May 9, 1996                 
                                   ----------------
                                   (date)

                                   /s/ Jean-Paul Kill
                                   -------------------------------
                                   (Signature)

                                    Director
                                   -------------------------------
                                   (Name/Title)