POWER OF ATTORNEY

The undersigned hereby constitutes and appoints George P. Scanlon and Michael L.
Gravelle, and each of them, 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, in the undersigned's capacity
     as an officer and/or director of Remy International, Inc. (the "Company"),
     Forms 3, Forms 4 and Forms 5 in accordance with Section 16(a) of the
     Securities Exchange Act of 1934, as amended (the "Exchange Act"), and the
     rules thereunder;

(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 Forms 3,
     Forms 4 or Forms 5 and timely file any such forms with the United States
     Securities and Exchange Commission and any other 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 his or her 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 his or her
substitute or substitutes, shall lawfully do or cause to be done pursuant to
this power of attorney. 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 Exchange Act.

The undersigned agrees that each such attorney-in-fact may rely entirely on
information furnished orally or in writing by the undersigned to each such
attorney-in-fact. The undersigned also agrees to indemnify and hold harmless the
Company and each such attorney-in-fact against any losses, claims, damages or
liabilities (or actions in these respects) that arise out of or are based on any
untrue statement or omission of necessary facts in the information provided by
the undersigned to such attorney-in-fact for purposes of executing,
acknowledging, delivering and filing Forms 3, 4s or 5s (including amendments
thereto) and agrees to reimburse the Company and each such attorney-in-fact 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 Forms 3, Forms 4, and Forms 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 attorneys-in-fact.

The undersigned has caused this Power of Attorney to be executed as of this 10th
day of December, 2012.

/s/ William P. Foley, II
---------------------------

Name William P. Foley, II
     ----------------------