Alexander Skarsgard and Kate Bosworth Split: Report
07/28/2011 AT 09:30 AM EDT
The towheaded True Blood star, 34, and Bosworth, 28, who costar together in this year's upcoming remake of 1971's Straw Dogs, were first linked in October 2009, when they were seen making eyes at each other and then hopping into a car at Chateau Marmont in West Hollywood.
The following April, they were cozying up together at the Coachella Valley Music and Arts Festival – though keeping quiet about their relationship
"We are very good friends," L.A. native Bosworth told PEOPLE in February 2010. "He's a wonderful, wonderful man. I adore him."
Pressed for further details, she responded: "That's a minefield, man! I'm not stepping into that. I've learned too well from being on that road."
As for what the future may hold for the Stockholm-born Skarsgard, who as vampire Eric Northman has undergone a metamorphosis to mellow on this season of the HBO hit, he told PEOPLE in 2009 that when it comes to finding the right woman, "A sense of humor is No. 1, for sure. Being funny and smart is very important."