POWER OF ATTORNEY
              FOR EXECUTING FORMS 3, FORMS 4, FORMS 5 AND FORM 144

The undersigned hereby constitutes and appoints William S. Moss III and Deborah
S. Huston or any of them acting without the other, with full power of
substitution, as the undersigned's true and lawful attorney-in-fact to:

    1.	prepare, execute in the undersigned's name and on the undersigned's
        behalf, and submit to the U.S. Securities and Exchange Commission (the
        "SEC") a Form ID, including amendments thereto, and any other documents
        necessary or appropriate to obtain codes and passwords enabling the
        undersigned to make electronic filings with the SEC of reports required
        by Section 16(a) of the Securities Exchange Act of 1934, as amended (the
        "Exchange Act") or any rule or regulation of the SEC;

    2.	execute for and on behalf of the undersigned any Form 3, Form 4, Form 5
        and Form 144 (including any amendments, corrections, supplements or
        other changes thereto) in accordance with Section 16(a) of the Exchange
        Act, and the rules thereunder, but only to the extent each form or
        schedule relates to the undersigned's beneficial ownership of securities
        of Talos Energy Inc. or any of its subsidiaries;

    3.	do and perform any and all acts for and on behalf of the undersigned
        that may be necessary or desirable to complete and execute any Form 3,
        Form 4, Form 5 or Form 144 (including any amendments, corrections,
        supplements or other changes thereto) and timely file the forms or
        schedules with the SEC and any stock exchange or quotation system, self-
        regulatory association or any other authority, and provide a copy as
        required by law or advisable to such persons as the attorney-in-fact
        deems appropriate; and

    4.	take any other action in connection with the foregoing that, in the
        opinion of the attorney-in-fact, may be of benefit to, in the best
        interest of or legally required of the undersigned, it being understood
        that the documents executed by the attorney-in-fact on behalf of the
        undersigned pursuant to this Power of Attorney shall be in the form and
        shall contain the terms and conditions as the attorney-in-fact may
        approve in the attorney-in-fact's discretion.

The undersigned hereby grants to the attorney-in-fact full power and authority
to do and perform all and every act requisite, necessary or proper to be done in
the exercise of any of the rights and powers herein granted, as fully to all
intents and purposes as the undersigned might or could do if personally present,
with full power of substitution or revocation, hereby ratifying and confirming
all that the attorney-in-fact shall lawfully do or cause to be done by virtue of
this Power of Attorney and the rights and powers granted herein.  The
undersigned acknowledges that the attorneys-in-fact, in serving in such capacity
at the request of the undersigned, are not assuming (nor is Talos Energy Inc.
assuming) any of the undersigned's responsibilities to comply with Section 16 of
the Exchange Act.

The undersigned agrees that the attorney-in-fact may rely entirely on
information furnished orally or in writing by or at the direction of the
undersigned to the attorney-in-fact.  The undersigned also agrees to indemnify
and hold harmless Talos Energy Inc. and the attorney-in- fact against any
losses, claims, damages or liabilities (or actions in these respects) that arise
out of or are based upon any untrue statements or omissions of necessary facts
in the information provided by or at the direction of the undersigned, or upon
the lack of timeliness in the delivery of information by or at the direction of
the undersigned, to the attorney-in fact for purposes of executing,
acknowledging, delivering or filing a Form 3, Form 4, Form 5 or Form 144
(including any amendments, corrections, supplements or other changes thereto)
with respect to the undersigned's holdings of and transactions in securities
issued by Talos Energy Inc., and agrees to reimburse Talos Energy Inc. and the
attorney-in-fact on demand for any legal or other expenses reasonably incurred
in connection with investigating or defending against any such loss, claim,
damage, liability or action.

This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Form 3, Form 4, Form 5 and Form 144
(including any amendments, corrections, supplements or other changes thereto)
with respect to the undersigned's holdings of and transactions in securities
issued by Talos Energy Inc., unless earlier revoked by the undersigned in a
signed writing delivered to the attorney-in-fact.  This Power of Attorney does
not revoke any other power of attorney that the undersigned has previously
granted.

                           [Signature page follows.]

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of the date written below.

/s/ Rajen Mahagaokar
----------------------------------------
Signature


Rajen Mahagaokar
----------------------------------------
Type or Print Name


May 16, 2018
----------------------------------------
Date