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

Perry has been spotted enjoying an intimate dinner with former Canadian Prime Minister Justin Trudeau—just weeks after she and Orlando Bloom split.

"Orlando and Katy have been shifting their relationship over the past many months to focus on coparenting. They will continue to be seen together as a family, as their shared priority is — and always will be — raising their daughter with love, stability and mutual respect."