FAR part 61.56 ( [[U.S.]Flight Review][1] ) requires a U.S.flight review (or authorized alternative - see below), for anyone operating an "N" numbered airplane within the U.S. (when using a U.S. certificate/or U.S. certificate based on a foreign certificate), even if that person is current in another country for which he/she also holds a certificate.

See also, FAR 61.75 ([Private pilot certificate issued on the basis of a foreign pilot license.][2])

See also this FAA Legal Interpretation which relates to your question:
[need for Flight Review for holder of U.S. cert based on foreign cert in accordance with FAR 61.75][3]

NOTE: In accordance with FAR 61.56 there are various types of  pilot proficiency checks or practical tests, etc. that may be substituted for a flight review (i.e. see FAR 61.56(d)-(f))

  [1]: https://www.ecfr.gov/cgi-bin/retrieveECFR?gp=&r=PART&n=14y2.0.1.1.2#se14.2.61_165
  [2]: http://61.75%20%20%20Private%20pilot%20certificate%20issued%20on%20the%20basis%20of%20a%20foreign%20pilot%20license.
  [3]: https://www.faa.gov/about/office_org/headquarters_offices/agc/practice_areas/regulations/interpretations/data/interps/2013/collins%20-%20(2013)%20legal%20interpretation.pdf