There currently are a variety of options to travel by night train from St Anton (Austria) to Münster (Germany), taking between approximately 11 and 14 hours: Namely the UEX 1300, the UEX 1302, the UEX 1306 and the UEX 332. These lines are operated by UEX.
UEX (Urlaubs-Express) runs seasonal night trains and car-carrying trains between Germany and Austria.
Options range from seats and shared couchettes to private couchette compartments, sleeper compartments and connected sleeper cabins.
You can bring your car, but only between the car terminals, and you book the vehicle along with your ticket.
There is a free ski compartment. Drinks and snacks are available in the bistro on board.
Children with their own seat or bed pay a reduced fare.