If you can restore the aircraft in accordance with its type certificate, then it can have a full airworthiness certificate in your local registry, or any other registry that works for you, and fly internationally. Most countries will only allow registration to their own nationals, but there are work-arounds using ownership trusts or limited companies that qualify
I believe some countries will allow it to be restored with a restricted CofA or 'permit to fly' if it qualifies as 'Annex 2'. That will restrict it to flying in the state of issue and any others that allow mutual recognition. A US experimental certificate will be of little use outside of North America, but a full standard CofA on the N register could be quite flexible.