Thanks selfin, so there's no need for a FAA medical if you hold one from the country which issued your license.
Another question just came up:
All the hours that you log in USA as PIC, not P1 and not dual for the biannual, will count 100% for EASA correct? Is there anything that is recommended to have in order not to have problems to prove the hours you've flown?
I read that it was just a signature of the renter and a stamp would be it. So having those can I have peace of mind when I go to start my IR and CPL back to Europe?
Cheers