LIMITED POWER OF ATTORNEY FOR
                          SECTION 16 REPORTING OBLIGATIONS

    Know all by these presents, that the undersigned hereby constitutes and
appoints each of Gerard Michel and John Purpura, acting alone and with full
power of substitution, 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 or any rule or
         regulation of the SEC;

    (2)  execute for and on behalf of the undersigned, in the undersigned's
         capacity as a director of Delcath Systems, Inc. (the "Company"), Forms
         3, 4, and 5 in accordance with Section 16(a) of the Securities Exchange
         Act of 1934 and the rules thereunder, and any other forms or reports
         the undersigned may be required to file in connection with the
         undersigned's ownership, acquisition, or disposition of securities of
         the Company;

    (3)  do and perform any and all acts for and on behalf of the undersigned
         which may be necessary or desirable to complete and execute any such
         Form 3, 4, or 5, or other form or report, and timely file such form or
         report with the SEC and any stock exchange or similar authority; and

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

    The undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever 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 such attorney-in-fact, or such
attorney-in-fact's substitute or substitutes, shall lawfully do or cause to be
done by virtue of this power of attorney and the rights and powers herein
granted. The undersigned acknowledges that the foregoing attorneys-in-fact, in
serving in such capacity at the request of the undersigned, are not assuming,
nor is the Company assuming, any of the undersigned's responsibilities to comply
with Section 16 of the Securities Exchange Act of 1934.

    This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Company,
unless earlier revoked by the undersigned in a signed writing delivered to the
foregoing attorneys-in-fact.

    IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of November 24, 2020.


                                             /s/Christine Padula
                                             ----------------------------
                                             Christine Padula