CHAPMAN AND CUTLER LLP
                             111 WEST MONROE STREET
                               CHICAGO, IL 60603



                                January 19, 2018



Securities and Exchange Commission
100 F Street, N.E.
Washington, D.C. 20549


      Re:    First Trust Exchange-Traded AlphaDEX(R) Fund II (the "Trust")


To the Commission:

      On behalf of the above Trust, with respect to its series, the First Trust
Taiwan AlphaDEX(R) Fund (the "Fund"), electronically transmitted herewith
pursuant to Rule 14a-6 under the Securities Exchange Act of 1934 are the
preliminary proxy statement, form of proxy and other soliciting materials for
the Fund. It is intended that the proxy materials will be released to
shareholders of the Fund on or about February 6, 2018. Please contact the
undersigned at (312) 845-3446 (e-mail: russell@chapman.com) with any questions
or comments regarding this filing.

                                             Very truly yours,

                                             CHAPMAN AND CUTLER LLP



                                             By /s/ Suzanne M. Russell
                                                ------------------------------
                                                    Suzanne M. Russell