The border is so close that it makes sense to widen your horizons and hop across to Podgorica, the capital of Montenegro. The best reason to make the trip is to get a feel for the culture and life of a city that is off the map for many tourists.
Podgorica has an easy-going Mediterranean atmosphere, with lively streets, cafes and restaurants. This is best experienced in the Stara Varos, the Old Turkish Town, which has those classic narrow paved streets with lots of twists and turns and sights like a stone Clock Tower from the 1600s.