ITALY: Missed the train due to wrong information provided by the seller

me and my wife are travelling from Munich to Venice. Having bought tickets directly from Trenitalia with Smart tariff (www.trenitalia.it), and seeing that the train Euro Night 463 is to depart at 23:36 from Munich central station, we arrived there at 23:00 only to discover that the train was long gone (left at 22:03)!

I checked up both the booking and the websites again and found out that trenitalia website sells tickets with wrong departure time:

while the Deutsche Bahn website lists correct departure time:

As we have a further connection, we bought the tickets for a morning train on the spot, but now we both feel rather disappointed, not to mention the money loss due to paying late. Do we have any options to have Trenitalia reimbursing our new tickets cost? What do you suggest us to do?

Thanks in advance.

UPDATE: So it turned out to be Deutsche Bahn's problem, not Trenitalia's. After I contacted both of them and sent originals of the tickets to Deutsche Bahn office citing the EU regulation 1371, they finally reimbursed me the costs of the new tickets. DB said the costs of the original ticket is out of their responsibility, but rather should be resolved with Trenitalia. I don't really have a desire to pursue the matter further half a year later, but I definitely appreciate your advice!