The rumored new couple stepped out together in Montréal recently, and a source tells PEOPLE they're "interested in each other"

It turns out Justin Trudeau and Katy Perry had a full itinerary in Montreal that involved more than just dinner.

Katy Perry and Orlando Bloom may have ended their nine-year relationship, but Perry has already sparked romance rumors with former Canadian Prime Minister Justin Trudeau. After they were seen out at dinner together at the swanky Le Violon restaurant in Montreal, he went to one of her shows; and now, her friends are weighing in …