The Eiger controversy in some way overshadowed the rest of Corti's mountaineering career. Corti climbed extensively in the Alps, becoming the first person to open two new routes on Piz Badile, and making early repeats of important routes. While not reaching the summit, he had an important role on the successful 1973-74 expedition of the Ragni di Lecco to climb the west face of Cerro Torre, a climb considered by some the first true ascent of the Torre.