At the beginning of the film, a calendar is seen showing the time as June 1934. Yet months later, when Lillian is in Europe and reads about the riots which led to an injury of her friend Julia, the American newspaper she reads has a date in February 1934.
The French train dining room had the menu title as the English word menu instead of the French word.
June 1, 1934 was on Friday, not Monday.
The same locomotive is pulling the train from Berlin to Moscow even though it is a different train. In addition, a single steam locomotive would never have been used from Paris to Berlin, let alone Paris to Moscow.
When Lillian enters the Tuileries Garden with Johann in the long shot, the windshields of modern-day cars can be seen "zooming" past The Louvre faster than cars of the time period would.
During a sailing shot, as the boat containing Julia and Lilian tracks away from the camera, the gunnel of the boat containing the camera crew is visible for an instant in the lower left of the frame.