I remenber seeing PNC printouts in the past that carried details of convictions in, if I recall aright, Germany and Jamaica. I haven't seen one of those for a long time.
One day, long after I have retired from the bench, we shall probably see an EU-wide system of criminal records, but it will take many years to bring in, and probably won't be worth the trouble.
* "Thou hast committed--"
"Fornication-- but that was in another country;
And besides, the wench is dead."
Christopher Marlowe - The Jew of Malta