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                                                                    EXHIBIT 23.2




                        CONSENT OF INDEPENDENT ENGINEERS

As independent engineering consultants, we hereby consent to the use of our
reports and data extracted therefrom (and all references to our Firm) included
in or made a part of this Form 10-K Annual Report to be filed on or about April
15, 1999, and to the incorporation by reference of this Form 10-K Annual Report
(including the use of our report and references to our Firm herein) into that
certain Registration Statement on Form S-3 filed by Costilla Energy, Inc. with
the Securities and Exchange Commission, file number 333-70357, and those certain
Registration Statements on Form S-8 filed by Costilla Energy, Inc. with the
Securities and Exchange Commission, file numbers 333-16513, 333-16515, and
333-16517 covering the Bonus Incentive Plan of Costilla Energy, Inc., the
Outside Directors Stock Option Plan of Costilla Energy, Inc., and the 1996 Stock
Option Plan of Costilla Energy, Inc., respectively, and file numbers 333-38747
and 333-38751 covering additional shares under the Outside Directors Stock
Option Plan and the 1996 Stock Option Plan, respectively.


                                       WILLIAMSON PETROLEUM CONSULTANTS, INC.




Houston, Texas
April 15, 1999