Good question.
The relevant part of the regulation is as follows:
61.56
(d) A person who has, within the period specified in paragraph (c) of this section, passed any of the following need not accomplish the flight review required by this section:
(1) A pilot proficiency check or practical test conducted by an examiner, an approved pilot check airman, or a U.S. Armed Force, for a pilot certificate, rating, or operating privilege.
So it's got to be:
An Examiner
An approved Pilot Check Airman
or a US Armed Force.
Obviously not a part of a US Armed Force. Examiner is defined in Part 61 as an examiner authorized by "The administrator" meaning the FAA Adminstrator, so an FAA examiner or DPE.
An approved check airman is a little less clear but, "approved" is defined in Part 1 as :
Approved, unless used with reference to another person, means approved by the FAA or any person to whom the FAA has delegated its authority in the matter concerned, or approved under the provisions of a bilateral agreement between the United States and a foreign country or jurisdiction.
It gets a little murky with the "unless used with reference to another person" but I'm leaning toward the check airmen at your carrier not being considers "approved check airmen" by the FAA.
Of course if any of your sim instructors are from the US and hold an FAA instructor's certificate they could sign you off for a biennial flight review. Not sure I'd try that unless he was a buddy though.