I crossed that border in August 2010 (I and my girl are Italian nationals) and we found no problems at all.
You want to know how much time it took?
Exiting Turkey: 1 and 1/2 hours.
Entering Georgia: 10 minutes.
Georgian Police officers were very professional and as soon as they saw our motorcycle at the end of the long line of cars, they waved us to the front.
Very fast passport and motorcycle's documents check and 10 minutes later we were out on the road to Batumi after two nice smiling female customs officers greeted us with "Welcome to Georgia" while giving us our passports back.
__________________
Nick and his 2010 Yamaha XT1200Z Super Ténéré
|