The Instagram comes just weeks after fans noticed that Swift had added Perry's new song Never Really Over to her personally curated Apple Music playlist.
Swift and Perry's feud has been publicly documented over the past decade, with the main drama reportedly starting when Swift invited three dancers who had toured with Perry to go on her Red tour.
But when the dancers decided to leave halfway and join Perry's Prism tour, Swift was apparently upset, unfollowing them on Twitter.
In 2014, in an interview with Rolling Stone, Swift explained the drama behind her song Bad Blood. She didn't name Perry, but it's widely presumed that's who she was referring to:
"She did something so horrible," said Swift. "I was like, 'Oh, we're just straight-up enemies'. And it wasn't even about a guy! It had to do with business.
"She basically tried to sabotage an entire arena tour. She tried to hire a bunch of people out from under me. And I'm surprisingly non-confrontational – you would not believe how much I hate conflict. So now I have to avoid her. It's awkward, and I don't like it."
Hours after the interview was published, Perry tweeted: "Watch out for the Regina George in sheep's clothing ..."
The pair have been on the mend for some time now, with Swift revealing via Instagram story last year that Perry had sent her an "olive branch" ahead of the first night of her Reputation tour.