Three items are stolen at the beginning of the movie: the Magna Carta, the Shroud of Turin, and the Imperial Sword. The Pink Panther diamond and the Pope's ring were stolen later. Near end of the movie, only three items were recovered, and the characters spoke of getting three out of the four objects back.
Clouseau and Ponton load a new model Smart Car to drive to the airport. As they drive, the car turns into an older Smart Car, with different rear lights. When they arrive at the airport, the car is a new Smart Car.
During the finale, when the dumbwaiter opens, and large decorative napkin is on a plate. When Clouseau jumps into the dumbwaiter, the napkin is gone and a bun is on the plate. When it goes up and he gets out of the dumbwaiter, the napkin that was on the plate earlier falls out. Lastly, Clouseau's suit is virtually clean of any food and beverage items.
When Clouseau falls back over the crime scene tape when the Pink Panther is stolen, a lock of hair falls over Vicenzo's face. In the next shot, his hair is slicked back. The lock reappears and disappears again in the next few shots.
In Rome, the inspector insists on selecting the wine. He picks the first bottle from the middle of the wine rack. In the next shot, the slot is full, and he places the bottle in a higher slot. In the third shot, he picks up another bottle from the middle of the rack.
As Clouseau begins to explain how his reference system for parking tickets has led to him solving the crime, the box containing the real Pink Panther inexplicably disappears from his hand between shots in a fraction of a second.
When Clouseau is going to meet the Dream Team for the 1st time, he walks across the hall with Ponton and Nicole. We can see the cage from where the Pink Panther diamond was stolen as they approach it and it is clear that it is empty. In the very next shot, the door opens and we see the detectives already inside the cage.
When Clouseau leaves France he puts his passport on the immigration counter for an exit stamp but he doesn't move his hand away resulting in the immigration officer stamping his hand. European Union citizens don't get entry or exit stamps on their passports from any European Union member state or EFTA country (such as Switzerland).
Jacques Clouseau is supposed to be a Police Inspector, yet he wears a uniform that was worn by the Gendarmerie (national police) until the early 1990s. Moreover, the two chevrons on his sleeves would make him a simple gendarme, a non-commissioned officer whose rank is far below Inspector.
One of the items stolen was the Pope's ring. However, the ring shown is actually the type worn by bishops and cardinals with a red stone (presumably a ruby) on it, but never by the Pope. The pope's fisherman ring is all gold (or gold plated as is Francis' ring) with the reigning pope's coat of arms on its top, which was used in the past as an envelope seal and stamp. That is the reason why the papal ring is destroyed when the reigning Pope dies or resigns (as did Benedict XVI) to prevent forgery of documents.
At the end of The Pink Panther, the singer Xania was determined to be the new owner of the Pink Panther diamond. In this film, the diamond is on display at a Paris museum with no acknowledgment that Xania donated it.
Alonso Avellaneda is supposed to be a Spaniard. Yet, he speaks with actor Jeremy Irons' trademark British accent. This is particularly noticeable in the way he pronounces his own name ("Ah-veia-needa") when first introduced.
Towards the end when they celebrate the closing of the case, during the conversation between the disgraced Clouseau and Sonia, a crew member is visible in the back of Ashwarya Rai's car. The male crew member is visible only through his reflection off the rear-view mirror.