North Tyrol borders Salzburg in the east , the German federal-state of Bavaria in the north , Vorarlberg to the west , the Swiss canton of Graubünden ( Grison ) to the southwest and the South Tyrol in Italy to the south .
North Tyrol borders Salzburg in the east , the German state of Bavaria in the north , Vorarlberg in the west , the Swiss canton of Graubünden in the southwest and Bolzano-Bozen in the south .