Horan, who is dating Victoria's Secret model Barbara Palvin, caught up with the blonde beauty on February 2, reported Contactmusic.
"Taylor was happy to sort Niall some Access All Areas passes and even had drinks with him before the show. They met through mutual friend Ed Sheeran. Niall seemed like a genuine fan of Taylor's music," a source said.
Horan's bandmate Harry Styles dated Swift for two months but it ended during a Caribbean holiday in January 2013.