Power of Attorney

        Know all by these presents, that the undersigned hereby makes,
constitutes and appoints each of Melinda Lackey and Michael Wong, or either of
them acting singly, and with full power of substitution and re-substitution,
the undersigned's true and lawful attorney-in-fact (each of such persons and
their substitutes being referred to herein as the "Attorney-in-Fact"), with
full power to act for the undersigned and in the undersigned's name, place and
stead, in any and all capacities, to:

        1.  Prepare, execute, and submit to the Securities and Exchange
            Commission ("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 or considered by the Attorney-in-Fact
            to be advisable under Section 13 or Section 16 of the Securities
            Exchange Act of 1934 (the "Exchange Act") or any rule or regulation
            of the SEC;

        2.  Prepare, execute and submit to the SEC, Alaunos Therapeutics, Inc.
            (including any successor or assign, the "Company"), and/or any
            national securities exchange on which the Company's securities are
            listed any and all reports (including any amendments thereto) the
            undersigned is required to file with the SEC, or which the
            Attorney-in-Fact considers it advisable to file with the SEC, under
            Section 13 or Section 16 of the Exchange Act or any rule or
            regulation thereunder, or under Rule 144 under the Securities Act
            of 1933 ("Rule 144"), with respect to the any security of the
            Company, including Forms 3, 4 and 5, Schedules 13D and 13G, and
            Forms 144; and

        3.  Obtain, as the undersigned's representative and on the
            undersigned's behalf, information regarding transactions in the
            Company's equity securities from any third party, including the
            Company and any brokers, dealers, employee benefit plan
            administrators and trustees, and the undersigned hereby authorizes
            any such third party to release any such information to the
            Attorney-in-Fact.

        The undersigned acknowledges that:

            a)  This Power of Attorney authorizes, but does not require, the
                Attorney-in-Fact to act in his or her discretion on information
                provided to such Attorney-in-Fact without independent
                verification of such information;

            b)  Any documents prepared or executed by the Attorney-in-Fact on
                behalf of the undersigned pursuant to this Power of Attorney
                will be in such form and will contain such information as the
                Attorney-in-Fact, in his or her discretion, deems necessary or
                desirable;

            c)  Neither the Company nor the Attorney-in-Fact assumes any
                liability for the undersigned's responsibility to comply with
                the requirements of Section 13 or Section 16 of the Exchange
                Act or Rule 144, any liability of the undersigned for any
                failure to comply with such requirements, or any liability of
                the undersigned for disgorgement of profits under Section 16(b)
                of the Exchange Act; and

            d)  This Power of Attorney does not relieve the undersigned from
                responsibility for compliance with the undersigned's
                obligations under Section 13 or Section 16 of the Exchange Act,
                including, without limitation, the reporting requirements under
                Section 13 or Section 16 of the Exchange Act.

        The undersigned hereby grants to the Attorney-in-Fact full power and
authority to do and perform each and every act and thing requisite, necessary
or advisable to be done in connection with the foregoing, as fully, to all
intents and purposes, as the undersigned might or could do in person, hereby
ratifying and confirming all that the Attorney-in-Fact, or his or her
substitute or substitutes, shall lawfully do or cause to be done by authority
of this Power of Attorney.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 4 or 5 or Schedules 13D or 13G
or Forms 144 with respect to the undersigned's holdings of and transactions in
securities of the Company, unless earlier revoked by the undersigned in a
signed writing delivered to the Attorney-in-Fact. This Power of Attorney
revokes all previous powers of attorney with respect to the subject matter of
this Power of Attorney.

        The signature may be delivered via facsimile, electronic mail
(including any electronic signature covered by the U.S. federal ESIGN Act of
2000, Uniform Electronic Transactions Act, the Electronic Signatures and
Records Act or other applicable law, e.g., www.docusign.com) or other
transmission method and any signature so delivered shall be deemed to have been
duly and validly delivered and be valid and effective for all purposes.

        IN WITNESS WHEREOF, the undersigned has executed this Power of Attorney
as of March 29, 2023.


                                   Robert Hofmeister
                                   /s/ Robert Hofmeister
                                   ----------------------------
                                        Signature