Career
Standing at 2.04 m (6 ft 8 1⁄2 in), he plays at the small forward position. Bogdanović started playing basketball in Sports Center "25th May". Later, he played for a few Belgrade-based clubs like KK Beovuk 72, BKK Radnički and Crvena zvezda.
Under head coach Zmago Sagadin he saw playing time in the senior team of Crvena zvezda.
In July 2004, he moved to the arch-rivals Partizan. With coming of Vladimir Micov, he lost his role in the team and saw little playing time, which eventually led to departure in 2007.
In the summer of 2007, he signed a contract with the French club Le Mans. In the 2007-2008 Euroleague season, he had career-high 11.1 points and 1.2 assists per game.
However, after just one season with Le Mans, he moved to DKV Joventut where he stayed for two seasons.
In September 2010, he returned to France, signing contract with Chorale Roanne. In December 2010, he signed a contract with the German club EWE Oldenburg for the rest of the season. In June 2011, Bogdanović signed a two-year deal with Cajasol Sevilla.
In July 2013, he signed a one-year contract with the Turkish club Türk Telekom.
In October 2014, Bogdanović returned to his former club Partizan. In January 2015, he left Partizan and signed with British Columbia Andorra of the Liga ACB for the rest of the season.
On July 30, 2015, he re-signed with Andorra for one more season.