Eurocity (EC) Trains
From many European cities to the central station Villach. Information is available from the Österreichische Bundesbahnen. From Villach Hauptbahnhof you can continue to Lake Faak traveling with:
Autoreisezug from Germany
The convenient way to travel with your car: Board your train in the evening, cross the Alps by night, and arrive refreshed at your destination in the morning.
More information at Deutsche Bundesbahn.