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

                                     SCHEDULE 13D
                                   Final Amendment

                      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)

                                      May 24, 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
          (   ).  (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         473,477
             OWNED BY
               EACH
             REPORTING
              PERSON
               WITH
                         --------------------------------------------------
                         8      SHARED VOTING POWER

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

                                473,477
                         --------------------------------------------------
                         10     SHARED DISPOSITIVE POWER

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

                 473,477
           ----------------------------------------------------------------
           12    CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
                 CERTAIN SHARES*        (   )    

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

                 0.7% 
           ----------------------------------------------------------------
           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. 
 




     This Final Amendment amends and supplements the Schedule 13D
filed on May 9, 1996 (the "Schedule") by Alphee S.A., a Luxembourg
corporation ("Alphee"), with respect to the Common Stock, $0.01
par value, of Diamond Offshore Drilling, Inc., a Delaware
corporation (the "Issuer").  All capitalized terms used in this
Amendment and not otherwise defined herein have the meaning set
forth in the Schedule.


Item 5.   Interest in Securities of Issuer.

     Item 5 is hereby amended as follows:

     (a) - (b)

     The first sentence of the first paragraph is replaced with the
following:

          Alphee beneficially owns 473,477 shares of Common Stock
          representing approximately 0.7% of the outstanding Common
          Stock, based on the Issuer's most recent filing with the
          Commission.

     The second paragraph is replaced in its entirety with the
following:

               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
          378,838 shares of Common Stock on the date hereof,
          representing 0.55% of the outstanding Common Stock.

     (c)  This section is replaced in its entirety with the
following:

               On May 24, 1996, Alphee effected the sale of
          4,234,771 shares of Common Stock in an underwritten
          secondary offering, pursuant to the Registration
          Statement, and as further described in the prospectus
          supplement, dated May 20, 1996 (the Prospectus
          Supplement") to the Prospectus, and in the U.S. purchase
          agreement and the international purchase agreement (as
          those agreements are further described in Item 6 below).
 
     (e)       This section is replaced in its entirety with the
following:

               As of May 24, 1996, Alphee's beneficial ownership of
          Common Stock was less than 5% of the outstanding shares
          of Common Stock.  As a result, no further amendments to
          the Schedule will be required.


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

     Item 6 is hereby amended to add the following paragraphs:

               Alphee, together with Ratos, entered into a U.S.
          purchase agreement and an international purchase
          agreement, each dated May 20, 1996, with the Issuer and
          the several underwriters named in Schedules A thereto
          (the "Underwriters"), in connection with the closing on
          May 24, 1996 of the sale by Alphee and Ratos of 4,234,771 
          and 3,288,369 shares of Common Stock, respectively.  Forms 
          of such U.S. purchase agreement and international purchase 
          agreement have been filed as Exhibit Nos. 1.1 and 1.2., 
          respectively, to Post- Effective Amendment No. 1 to the 
          Registration Statement.

               At the request of Alphee and Ratos, the Issuer
          prepared and filed the Prospectus Supplement for use in
          connection with the sale of shares of Common Stock
          described herein and therein.

Item 7.   Exhibits.

          None.




     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 28, 1996                 
                         --------------------------------
                         (date)


                                                          
                         --------------------------------
                         (Signature)


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