The source is located in the Swiss Alps, west of St. Moritz in the Engadine region, which is named after the river (Romansh Engiadina; Latin vallis Eniatina). Shortly after it leaves its source, the Inn flows through the largest lakes on its course, Lake Sils and Lake Silvaplana. It runs north-eastwards, entering Austria, and from Landeck eastwards through the Austrian state of Tyrol and its capital, Innsbruck (bridge over the Inn), and crosses the border into Bavaria near Kufstein.