Night Train to Lisbon

Walking over a bridge in Bern, Raimund Gregorius, a Swiss professor of ancient languages, notices a young woman in a red coat standing on the railing, about to leap. Dropping his briefcase, he runs and pulls her down. She helps him gather the papers that have spilled from his briefcase and accompanies him to the school where he teaches. But instead of waiting to talk, she leaves during the middle of his class, without her coat.