While eating and drinking in front of the Eiffel Tower, Jen identifies the wine as "Chianti grapes from somewhere in Italy," however, there is no grape named Chianti. Chianti wine is not named for a grape, but for its home region of Chianti and is made primarily from the Sangiovese grape. As someone knowledgeable in wine, when identifying the grape she would have said it was made from Sangiovese.
Isabella is supposed to be from Oregon but she pronounced Willamette incorrectly.
None of the actors were instructed on how to properly hold a wine glass. You hold the glass by the stem at the base to avoid changing the temp and the taste. So many actors cupped their wine glasses and by the end of the scene, it can be as warm as body temp.
The main character's signature wine, Ricci Heritage Reserve Pinot Noir, is in the wrong shape bottle for a Pinot Noir. As wines historically associated with the Burgundy region, Pinot Noir and Chardonnay are almost always in bottles with a more sloped shape as found in the Burgundy region. A number of other wines throughout the film seem to be bottled and perhaps named in ways inconsistent with wine custom as well, though this is the most obvious.
Whilst on this bridge eating a croissant, the cups of coffee are clearly empty.
Isabella incorrectly pronounces "Willamette" Valley, her home region.