After half a season at Bežanija, he joined FK Železnik after their coach was impressed by his play and decided to sign him.

In the summer transfer window, Biševac joined Serbian Red Star Belgrade for a reported fee of €500,000.

He made his European debut when he came on as a late substitute in a 2–2 draw against Swiss side Young Boys in the first leg.

In the second leg, Red Star Belgrade advanced to the next round, winning 3–0, where Biševac played the full 90 minutes.

On 4 July 2008, Biševac signed a four-year contract with Valenciennes for an undisclosed fee, believed to be in the region of €3 million.

[6] In a match against Montpellier on 7 November 2009, Biševac suffered an injury on his foot, forcing him to miss two weeks of action.

[9] During the summer transfer window, Biševac was linked a move away from Valenciennes, with the likes of Galatasaray and Fenerbahçe,[10] Paris Saint-Germain[11] and other European clubs all tracking him; no offers were ever made.

[15] On his move, he spoke out about feeling under pressure and said, "I got to know this at Red Star Belgrade, where fans could enter the dressing room to demand us to win.

[17] He went on to make more appearances for the club, reverting to his nature centre back position towards the end of the season.

[20] PSG were motivated to sell him in order to free up one of the four prohibited non-EU spots after the club signed Brazilian winger Lucas from São Paulo.

[29] Biševac won a silver medal with the Serbia and Montenegro national under-21 football team at the 2004 UEFA European Under-21 Championship.

Subsequently, he played for the Serbian and Montenegrin 2004 Olympic football team which exited in the first round, finishing fourth in Group C behind gold-medal winners Argentina, Australia and Tunisia.

Biševac made his senior team debut for Serbia in a friendly against Czech Republic, 16 August 2006.