updated 05/17/2010 AT 2:00 PM ET
•originally published 05/17/2010 AT 3:05 PM ET
It must be getting serious! Alexander Skarsgard brought girlfriend Kate Bosworth to his home country of Sweden, where the lovebirds have been getting cozy – and meeting his friends.
The True Blood hunk, 33, and the actress, 27, arrived in Stockholm Thursday and engaged in some PDA while sightseeing in the city.
“They spent the whole weekend hand-in-hand and Alex seemed very excited about showing Kate around his hometown,” says an eyewitness. “Alex proudly introduced Kate to his best friends and everyone seemed to love Kate.”