The CAA response on Permit aircraft flying into Europe, was somewhat confusing.
In fact, and this has subsequently been endorsed by CAA, there will be no change to existing arrangements.
Permit aircraft permissions are generally governed by ECAC letters of agreement, which are independent of EASA and are signed by the individual heads of the national aviation authorities involved. These enable LAA Permit aircraft, older historic types and amateur-built aircraft, overflight and access to the signatory countries.
There is a slight technicality in that some of the letters of agreement are currently worded “aircraft of the EC and Switzerland”, and we need of course to get “and the UK” added to the documents. This is in hand with the CAA/EC team as we speak.
Further information can be found in the LAA Technical Leaflet TL 2.08, which can be found at http://www.lightaircraftassociation.co.uk/engineering/TechnicalLeaflets/Operating%20An%20Aircraft/TL%202.08%20Travelling%20abroad%20in%20a%20Permit%20Aircraft.pdf
This is an older document (2016), which we’re updating, but this will have to wait until the Brexit/EASA dust has settled.
Hope this answer the question a bit more positively!