Tay posted a short vid showing off a gift she just got from Perry, with the caption "Thank you Katy" and some heart emojis.
The fight, which started as a dispute over back up dancers, has dominated the personal and professional lives of the two singers for more than four years and played out in their songs.
That simmering feud burst into the spotlight with Swift's huge 2014 track Bad Blood, and Perry's retort in 2017's Swish Swish. She tried to hire a bunch of people out from under me.
Katy Perry arrives for the 2018 Met Gala on May 7, 2018, at the Metropolitan Museum of Art in New York.The Gala raises money for the Metropolitan Museum of Art's Costume Institute.
AMU Controversy Part of Conspiracy: RLD Leader
The BJP and the RSS are targeting minority institutions, the RLD national general secretary said at a meeting of a minority body. Who will do it?" on his official Twitter page that reportedly led to incitement of violence against students of AMU.
"This means so much to me", the muso said. The fans are even praying for a collaboration fittingly titled "Olive Branch".
Perry also appears to write she is "deeply sorry" over "past miscommunications".
"I am ready to let it go", Perry told Thrive CEO Arianna Huffington.
Katy opened up about the feud a year ago, speaking to The Thrive Global Podcast, saying she was "ready to let it go". "I really want to clear the air..." before it's covered. She added, "I think personally that women together, not divided.will heal the world".