Đurković has served as vice-president of a small political party called the Movement for Serbia (Pokret za Srbiju).[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. During the campaign, he said that he would fight for the interests of veterans and those invalided by war and seek the annulment of all agreements with NATO that harm Serbia's interests.[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.[9] He appeared in the twenty-fifth position on their combined list and was not elected when it won thirteen mandates.[10]
In 2018, Đurković attended a conference entitled "Spiritual and Moral Security of Man in the Modern World" (Духовно-морална безбедност човека у савременом свету) in Luhansk, in the secessionist Luhansk People's Republic in Ukraine. He argued that the spiritual values of the Donbas people would lead them to victory over what he described as the materialist values of the west. He also criticized not only NATO but also the peacekeeping forces of the United Nations for their actions in the Yugoslav Wars of the 1990s.[11]
Đurković received the first position on the POKS's For the Kingdom of Serbia list in the 2020 Serbian parliamentary election. Once again, he contested the election as a non-party figure.[12] In accepting the nomination, he said that he would fight for Serbia to provide support for veterans of the Yugoslav Wars of the 1990s.[13] He was later part of a For the Kingdom Serbia delegation that laid a wreath at the monument of Draža Mihailović at Ravna Gora; in so doing, he argued for Mihailović's credentials as an anti-fascist leader.[14] The POKS list narrowly missed the threshold to win assembly representation.[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. Due to an ongoing dispute over the party name, Mihailović's group could not be identified as the POKS; it instead used the name "For the Kingdom of Serbia (Monarchists)." Đurković received the seventeenth position on the alliance's list and narrowly missed election when it won fifteen mandates.[17] Soon after the vote, Mihailović was recognized by Serbia's government as the legitimate leader of the POKS.[18]
Đurković received an assembly mandate on 18 October 2022 as the replacement for another delegate. He served afterward as a member of the committee on constitutional and legislative issues and the committee on education, science, technological development, and the information society; he was also the leader of Serbia's parliamentary friendship group with India.[19] The Serbian Progressive Party (SNS) and its allies won the 2022 election, and the POKS served in opposition.
He was given the eighteenth position on the NADA coalition's list in the 2023 Serbian parliamentary election and was not immediately re-elected when the list won thirteen seats.[20] His first term ended when the new assembly convened in February 2024.
He returned to parliament on 24 July 2024, once again as the replacement for another POKS delegate.[21]