Missing Ten Days (1940)

Bob Stevens (Sir Rex Harrison) awakens in a hospital with a gunshot wound to his head, and is told that he has been in Paris for ten days. However, this cannot be true because he insists that he crashed his plane and has no recollection of being anywhere for ten days. Bob decides to follow a note found in his jacket, to the woman who wrote it, "Miss D", and get to the bottom of the whole strange situation.