JAA Class 1 is for personal reasons, nothing to do with this country.
Originally Saudi operated exclusively on the FAA system, you therefore needed a FAA medical, there was no such thing as a Saudi medical, nor did they accept JAA or any other.
With the recent issuance of Saudi licences based upon ICAO they have started issuing their own medicals.
I have never heard of any country accepting another countries medical.
Mutt