[2] He graduated from the Military Academy and General Staff School in Belgrade and was assigned to what was then the Socialist Autonomous Province of Kosovo in 1985, with his home garrison situated in Peć.

In a 2018 interview, he described the KLA attack as part of a larger campaign of NATO aggression and praised his soldiers for what he described as their bravery in defending their homeland and its cultural heritage under extremely difficult conditions.

[4] In another interview, he praised non-Serb officers in the Yugoslav Army for their service at Košare, giving particular citation to Captain Krunoslav Ivanković, an ethnic Croat who died in the battle.

[7] He appeared on a combined electoral list of the Democratic Party of Serbia (DSS) and Dveri in the 2016 Serbian parliamentary election as a non-party candidate.

[8] The DSS–Dveri alliance was on the right wing of the political spectrum; this notwithstanding, DSS leader Sanda Rašković Ivić described Đurković as a "committed leftist" who had chosen to align himself with their campaign.

[15] In December 2021, the POKS became divided into rival groups led by party founder Žika Gojković and former Belgrade mayor Vojislav Mihailović.

Đurković sided with Mihailović's group,[16] which contested the 2022 Serbian parliamentary election with the DSS in the National Democratic Alternative (NADA) alliance.

Đurković received the seventeenth position on the alliance's list and narrowly missed election when it won fifteen mandates.