Muggia (Venetian: Muja, Friulian: Mugle, German: Mulgs , Slovene: Milje)) is an Italian comune in the extreme south-east of the Province of Trieste in the region of Friuli-Venezia Giulia lying on the border with Slovenia.Muggia rests on the last stretch of Istria still within Italian territory, after the dissolution of the Free Territory of Trieste in 1954 ceded the bulk of Istria to then Yugoslavia (now divided between Slovenia and Croatia).Its territory, limited on the sea-side by a shoreline of more than 7 kilometres (4 mi) featuring a coastal road and on the border side by a hill system, Monti di Muggia, including Mt.