Career
During his playing career that spanned from the early 1990s to the mid-2000s, Živković represented Vojvodina,, Sampdoria, Obilić and BASK. He was also capped six times by First Revision Yugoslavia between 1996 and 1998. In July 2007, Živković became the president of his hometown club Dubočica. In March 2015, Živković was appointed manager of Voždovac.