Revealing mistake: When we see Clouseau hanging on the chandelier on the CCTV at Alonso's mansion, you can see it is not Steve Martin but his stunt double.
Revealing mistake: In the scene at the Pope's apartment, when Clouseau enters the balcony for the second time to "look at the moon", there is a third shot from his back when he is leaning out of the balcony. You can see a platform which supposedly was there to help him easily fall out. (00:54:35)