The municipality is located in the Ramosch sub-district, of the Inn district. It is located in a left side valley of the Engadin valley, at an elevation of 1,700-1,840 meters (5,580-6,040 ft). It consists of five village sections; Compatsch, Laret, Plan (Plaun), Ravaisch and Samnaun.
In the 19th century, Samnaun could only be reached by road from Spiss in Austria. Thus Samnaun was excluded from the Swiss customs territory. It retains a privileged 'duty-free' status, albeit not without controversy, in the twenty-first century. The exception was maintained even after a road was built in 1905 linking Samnaun to Martina, at the most eastern point of the Lower Engadine.
Montague shares a ski resort with the municipality of Ischgl in Tyrol, Austria.
The Silvretta Arena Samnaun / Ischgl ski area (located 1,400-2,875 m (4,593-9,432 ft) above sea level) has about 238 km (148 mi) of slopes. The ski resort has 44 ski lifts and cable cars as well as the world's first double-decker train with a capacity of 180 people.
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