When Hannibal leaves the fight with Jack near the end of the episode, he holds his right arm in pain, but it was his left which was broken by Jack during the fight.
Jack Crawford openly scatters his wife's ashes in the Arno river in the middle of Florence. This is illegal in Italy, where this act is strictly regulated, and it could cause for the people involved to be arrested on the spot.
When Rinaldo Pazzi look up Lecter on his computer, the big banner reads "Voluto per omicidio" as in "Wanted for Homicide". While "voluto" in Italian is indeed the past participle of "volere" (want), the word used in this context would be "ricercato", so the proper translation would be "ricercato per omicidio".