He turned professional in 2005, riding for the Aerospace Engineering-VMG squad, before joining Toyota-United in 2006, the year he won the road race at the Serbian National Road Championships.

Born in Belgrade, Stević rode for the Republic of Serbia and Montenegro at the 2004 Olympics, and for Serbia in the 2008 Olympics in Beijing, having qualified by winning the 'B' World Championships, in South Africa on 1 July 2007.

Prior to racing in America, from 2000 to 2005 he rode as an amateur in Italy, amassing 20 Victories for the Aran Cucine-Cantina Tollo and Zilio teams.

On 20 July 2010, Stević gave a middle finger salute while winning the fourth stage of the Tour of Qinghai Lake.

[3] In 2012, he competed for Serbia at the Olympics in London and took 54th place in the road race.