All Roads Lead to Man (1974)

Call girl, Monique Caron, wants to quit the profession. In Rome, a fortuitous exchange of suitcases leads her to meet Antoine Dubois, a somewhat blundering private detective. With his suitcase full of cassocks, she mistakes him for a Vatican client but after sex, Antoine whispers his real job. They tell each other about their sexual adventures that have taken place across Europe.