Russell Gulch, you may use a US medical certificate in accordance with
14 CFR 61.3(c)(1).
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hegemon, "
I may as well think ahead and request [a flight review] from the DPE at the same meeting as two bullets above"
The flight review is usually done in combination with a rental checkout with a flight instructor. The ground portion of the flight review can be completed remotely, either with a US flight or ground instructor or by completing appropriate self-study modules in the FAA Pilot Proficiency Program, WINGS.
https://faasafety.gov/WINGS/pub/accr...?aaid=%2022887
The US instrument currency requirement in 61.57(c) applies equally to an IR endorsed on a restricted (foreign-based) US pilot certificate.
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S-Works, "
the one in the U.K. has to do his tests outside the U.K. as he does not have a U.K. or EASA licence."
Why should one be required? Traditionally US examiners do not act as pilot-in-command on practical tests.