According to the Hindustan Times, Perry, who performed at the opening ceremony of the Indian Premier League (IPL) on April 3, met Chopra the day after the performance for a shopping trip.
"Katy wanted to buy some ethnic stuff and she mentioned that to Priyanka when they met. So PC decided to take her shopping," said a source.
"Since Katy is known for her unconventional fashion style, she returned with loads of ethnic Indian jewellery like armlets, trinkets and earrings.
"Not many people know that both PC and Katy are represented by the international talent management company CAA. Plus, they both bonded over music. They were overheard talking about PC's upcoming international album too," the source added.
The pair also did an exclusive photo shoot together for a magazine.
The Barfee star has previously spent time with Lady Gaga at a concert in New York.
Chopra is currently involved in shooting Krrish 3 in Hyderabad.