But she draws the line at savoring Swedish cuisine.
"I don't think there are any Swedish restaurants in L.A. The Swedish food I've seen is, like, pickled fish that can live outside the refrigerator for, like, a day," she tells PEOPLE Tuesday at the Time 100 Gala to celebrate Time's list of the 100 Most Influential People in the World.
She and Kinnaman, who's been cast as Robocop in the remake if the 1980s movie set for release next year, spent time in Sweden with his family (he has an American dad and a Swedish mom) – and Munn managed to avoid the local offerings whenever possible.
"I went last summer. I didn't have [the pickled fish]. I saw it; I thought, 'I don't want that.' They love it. That and potatoes," Munn, 32, says.
Luckily, she explains: "My boyfriend's dad is a really great cook, and he was in Laos for while so he actually made a lot of food [I liked]. I didn't have to go for the pickled herring."
Munn also raved about her date for the evening – not Kinnaman, but designer Michael Kors, also an honoree at the event.
"I was so excited and honored when I got the call Michael wanted me to come as his date," says the Newsroom actress, who was wearing a floor-length yellow Kors dress. "I just think he's so wonderful."