The two have also exchanged numbers, reported Ace Showbiz.
"I met Taylor Swift, that was really nice. We exchanged numbers. Let's see what happens," Healy said.
He kept it coy when asked if they would become the next Hollywood big item.
"You're calling that, are you? Let's just see what happens. I mean, what am I going to do? Go out with Taylor Swift? She's a sensation, I wouldn't say no," he added.
The two met when Swift came to his band's concert in Hollywood with Selena Gomez and Ellie Goulding earlier this year.
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