There currently is one option to travel by night train from Malmo (Sweden) to Innsbruck (Austria), taking approximately 22 hours: Namely the 305 operated by Snälltåget.
Snälltåget offers night travel with various comfort levels on night trains between European cities.
Snälltåget provides three options: budget seats in open coaches, berths in shared compartments for up to six people, and private compartments for groups. All berths include pillows, sheets, blankets and duvets.
In shared and private compartments, seats convert to berths at night. Each compartment features three berths on each side with ladders to reach the upper berths. Private compartments are ideal for groups seeking more privacy.
Animals are permitted in private compartments only. Bikes are not allowed, but collapsible bicycles can be transported as hand luggage or stored on luggage racks.