WordNet sense 1 (on or relating to or characteristic of the region or peoples beyond the Alps from Italy (or north of the Alps)):

transalpine

WordNet sense 2 (on or coming from the other side of the mountains (from the speaker)):

tramontane, transmontane

WordNet sense 3 (on the Italian or Roman side of the Alps):

cisalpine

WordNet sense 4 (on this (the speaker's) side of the mountains):

cismontane