The FAA only issue initial TR in the states but then you can get it renewed/revalidated by a freelance TRE/Check airman.
Boeing Training in the UK used to have a in house airman but he has now retired so I have heard.
My suggestion is to do the TR in the US as it will only cost you around $8000 and no base training required. But good luck flying in EU land if you wish to fly on an EU registered aircraft.