The American Jesse and the French student Celine, meet each other on a train from Budapest to Paris. Jesse, who has to catch a plane the next day back to America, persuades Celine to leave the train with him on his stop in Vienna, so that they can spend more time together.
The two walk through Vienna and talk about their lives, their views and love. Over the night they admit their attraction, but they understand that they probably will not see each other again. The film ends at the Westbahnhof in Vienna, where Jesse and Celine promise to meet in exactly six months on the same platform.