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PRESS RELEASE                                 SOURCE:  First Trust Advisors L.P.

First Trust Advisors L.P. Announces Portfolio Manager Update Call for
First Trust Enhanced Equity Income Fund

WHEATON, IL -- (BUSINESS WIRE) -- June 18, 2010 -- First Trust Advisors L.P.
("FTA") announced today that First Trust Enhanced Equity Income Fund (NYSE: FFA)
intends to host a conference call with Chartwell Investment Partners, L.P.
("Chartwell"), the Fund's investment sub-advisor, on Wednesday, June 23, 2010,
at 4:15 P.M. Eastern Time. The purpose of the call is to hear the Fund's
portfolio management team provide an update for the Fund.

--   Dial-in Numbers: (866) 865-6631; International (706) 679-1727; and Passcode
     # 83395826. Please call 10 to 15 minutes before the scheduled start of the
     teleconference.

--   Telephone Replay: (800) 642-1687; International (706) 645-9291; and
     Passcode # 83395826. The replay will be available after the call until
     11:59 P.M. Eastern Time on Friday, July 23, 2010.

FTA has served as the Fund's investment advisor since the Fund's inception. FTA,
along with its affiliate First Trust Portfolios L.P., are privately-held
companies which provide a variety of investment services, including asset
management, financial advisory services, and municipal and corporate investment
banking, with collective assets under management or supervision of over $29
billion as of May 28, 2010 through closed-end funds, unit investment trusts,
mutual funds, separate managed accounts and exchange-traded funds.

The Fund's daily closing New York Stock Exchange price and net asset value per
share as well as other information can be found at www.ftportfolios.com or by
calling (800) 988-5891.


CONTACT:  JEFF MARGOLIN - (630) 915-6784

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Source:  First Trust Advisors L.P.