Career
At 2.19 m (7 ft 2 in), he plays at the center position. Bešović started playing basketball with youth selections of KK Budućnost Podgorica. He made his debut at senior level with KK Vojvodina Srbijagas during the 2007-2008 season.
In November 2008, Bešović moved to KK Partizan.
Bešović requested termination of his contract on September 22, 2012, after not being selected for friendly games with Fuenlabrada. On June 17, 2013, he signed a three-year deal with Spirou Charleroi, but was immediately sent on loan to VOO Wolves Verviers-Pepinster.