Like Jacques Rivette's previous "Julie and Celine Go Boating," his film "Le Pont Du Nord" starts with a game of tag in Paris between two women, Marie(Bulle Ogier), who arrives in town on the back of a truck, and Baptiste(Pascale Ogier), who rides on a scooter. This games stops on the third try as Baptiste considers that it is fate that they keep running into each other. So, Baptiste who sees herself as something of a knight(she considers her leather jacket her armor) agrees to protect the more vulnerable Marie who is extremely claustrophobic after spending three years in jail and aid her in her search for Julien(Pierre Clementi) who carries a briefcase.
The next game involves a map of Paris in Julien's briefcase that is marked off into separate squares. And as highly improvised as this bewildering movie feels at times(it does not have an ending, so much as comes to a sudden halt), it does actually have some coherent ideas on how Paris tries to overwrite its past, as Marie is forced to face the repercussions of her own radical past. This is conveyed ably by the movie's locations(unusually so for an urban set movie, about 98% of the locations are exteriors) of construction sites and abandoned railroad stations and other buildings.