. . . erm, an EASA licence is valid for non-EASA aircraft (at least in the UK.)
When I asked the DGAC if I could fly my G-reg homebuilt in France on an LAPL, their reply hinted that it was a silly question and they referred me to Article 11 of EU Regulation 216/2008, which reads:
Recognition of certificates
1. Member States shall, without further technical requirements or evaluation, recognise certificates issued in accordance with this Regulation. When the original recognition is for a particular purpose or purposes, any subsequent recognition shall cover only the same purpose or purposes.