Career
Red Star Belgrade
= 2013-2015 Živković joined first team of Red Star, under coach Ricardo Sá Pinto. Živković was licensed for the first team before the last fixture against Vojvodina, but he was not in protocol. Živković was with youth team until 2015.
He impressed coach Božović on the summer preparations, before the 2015-2016 but he decided to send him on loan to get more experience.
= Loaning to Spartak Subotica Živković and Marinković was loaned to Spartak Subotica at the beginning of season 2015-2016. Dušan made his official debut for Spartak Subotica in the 1st fixture of Serbian SuperLiga, against Radnik Surdulica, played on 18 July 2015.
After only several matches for Spartak, he returnted to Belgrade.
