The real Faberge egg is supposed to be transported from Paris to Rome by train as LeMarc tells the team of Diaz. They are supposed to get on the train from Gare du Nord in Paris. This is a mistake as all trains from Gare du Nord are due north. Trains to Italy would leave from Gare de Lyon.
As Danny is briefing his guys on the Night Fox's history, Yen asks a question in Mandarin. However, Yen is still supposed to be trapped inside a lost piece of luggage at the time, so he'd have no way of being there to ask the question.
When the convoy of black Range Rovers pulls out of the Rome Police facility, Isabel is following it in an unmarked Police car, a silver colored Lancia. But in all the earlier takes showing the Police facility courtyard, the only silver colored unmarked Police car on the scene is a 3 series BMW.
When Danny is talking to Basher about his age on the railway station, a sign indicating a police station is visible on the right side of the screen. While Danny was recognized by Isabelle before, he should have been clearly visible to police officers and would have been arrested on the spot.
When Danny meets Toulour, Toulour explains why he ratted Danny and the others out to Terry Benedict. He says that when La Marque was meeting with "a very loud and annoying American" and that he was the one "who suggested Benedict as a mark for you". Thus implying that this "loud American" had some role in setting up the Bellagio job in the first film. However, in "Ocean's Eleven", the plot hinges on Danny setting up the Bellagio score as a means to win Tess back with no mention of anyone leading Danny to the score.
Early in the film Danny is seen riding in Amtrak car 54525, presumably in Connecticut, but this type of train car is not used in Amtrak's Northeast Corridor service and is primarily seen in the Midwest.
Some scenes which were supposed to be at the Amsterdam station were filmed at Haarlem train station (20 km away). Signs on the platform indicate "Amsterdam centraal" but on the real platform it says "Haarlem".
The pillars in Amsterdam are driven into the sand to stabilize the foundations of the houses. There is no water surrounding the pillars at any level. The film suggests that the houses are built like offshore platforms which is simply not the case.
After their arrest and subsequent "extradition," the thieves are seen being driven away from a "Polizia" Station. In actuality, they would have been arrested by the Carabinieri: a very separate and more militarized division of Italian law enforcement. In fact, one of the Carabinieri's specific jurisdictions is the investigation and recovery of stolen artwork.
When Isabel intercepts the phone call from Roman, he says that the item he is making for Rusty would "fool the Romanovs themselves". It is reasonable to assume that a detective specializing in high-value art theft would know the connection between the Romanov family and the Fabergé Eggs, yet in the next scene she does not know the target of the planned theft.