There currently is one option to travel by night train from Innsbruck (Austria) to Malmo (Sweden), taking approximately 21 hours: Namely the 304 operated by Snälltåget.
Snälltåget offers night travel with various comfort levels on night trains between European cities.
Accommodation ranges from individual seats in coaches to shared compartments with up to six berths and private compartments for small groups. All beds include bedding and blankets.
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.
Pets are only allowed in private compartments and must be registered during booking. Bicycles cannot be brought on the train, but folding bikes can be stored as hand luggage in the compartment or on luggage racks in the seating coach.