Sarmede is a comune in the Province of Treviso in the Italian region Veneto, located about 60 kilometres north of Venice and about 35 kilometres northeast of Treviso. As of 31 December 2004, it had a population of 3,087 and an area of 17.9 square kilometres. The village is famous for its frazione, Montaner, because during the 1970s the schism of Montaner occurred under the jurisdiction of the future Pope John Paul I.