Continuity mistake: Celine is opening her apartment door. The door-handle is on the left side. When they walk in and close the door, the door-handle inside is again on the left side.
Continuity mistake: When Jesse and Celine are walking along, there is a man in a red shirt who is just getting ready to pass them (with the camera shot looking from their backs). The scene shifts to a frontal shot, but the man in the red shirt does not pass immediately as he should have. There is too long of a time gap before he finally appears in the shot and passes Jesse and Celine.
Factual error: Celine and Jesse are walking from Shakespeare & Company on the left bank of Seine to the Pure Cafe on the right bank, but they never cross a bridge.
Continuity mistake: Jesse and Celine are sitting on a park bench, and he has his right arm behind Celine on top of the bench. The next shot is a front view and his arm is resting on his leg.