>The authority that holds your medical records must be the same that issues your licence.
yes
So if you do your medical in Greece and want a UK issued licence you'll have to ask the Greek Medical Authority to transfer your medical records to the UK CAA.
> There is a process for renewal that allows an EASA AME to notify UK CAA, but assuming you in fact need an initial class one you can either do that in the UK ( £600) or in Greece and then do the SOLI process. Looking at what is required here:
https://www.caa.co.uk/Commercial-ind...te-or-licence/
I am thinking you would do best just doing the initial class one in the UK, whilst more expensive, considerably easier...