Palvin, who has previously dated the likes of Justin Bieber and Niall Horan, hit it off with Hamilton during a recent meeting in Cannes, France, reported Female First.
"She and Lewis were only in Cannes for a short time but got on like a house on fire. They hung out every day and partied at night. By the end of the trip they were really close. They've been keeping in touch with plans to meet up again soon," a source said.