Les Jours où je n'existe pas (2003)
Directed by Jean-Charles Fitoussi

Film Synopsis

This is the story of Antoine, a man with a particularly odd disability.  Every midnight, he would disappear and then reappear twenty-four hours later, completely unaware that he had skipped an entire day.  How can such a man hope to live a normal life?  Aware how others would react to his day-hopping habit, Antoine was quite prepared to take up the life of a hermit.  But then he met Clémentine, his one true love...