The 29-year-old actor said the duo met at events such as the Toronto International Film Festival in 2014 and again after the BAFTA Awards shortly afterwards that they did not get a chance to talk.
"The first two times we met, we didn't chat, we only danced," Vikander told Britain's ELLE magazine.
The Swedish actor, who recently moved to Lisbon with 40-year-old Fassbender, said they had discussed living in the Portuguese capital in their first meeting.
"When I met my husband three and a half years ago, he had mentioned he'd been to Lisbon and loved it, and I knew friends who were moving out there. And that was a time when I was just starting to feel really at home in London, but after Brexit I think I was like, 'Meh, you know what, I want to stay in Europe'," Vikander said.
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