If you're highly confident in your Alpine skills, set out for the highest rifugio in Europe from the top cable car stop at Punta Indren (3260m). Perched atop Punta Gnifetti on the Swiss–Italian border at an astounding 4554m, it's an ascent that requires glacier travel. Bookings are made online.
Those without high-altitude equipment or extensive mountaineering experience will need to hire an IFMGA (International Federation of Mountain Guide Associations) guide.