Born and raised in Borovo Naselje to an ethnic Serb family, Dujković attended Ivan Goran Kovačić primary school, where he was initially active as a handball goalkeeper.

At Red Star he became part of a new batch of up-and-coming players along with Jovan Aćimović, Stanislav Karasi, Dragan Džajić, Trifke Mihajlović under coach Miljan Miljanić.

While at Red Star he played in the 1971 European Champions Cup semi-final and earned four appearances in Yugoslavia national football team.

Following the conclusion to 1979/80 campaign, at the end of which NK Osijek got relegated, Dujković made the switch to Galenika Zemun, another second league side, and helped it gain promotion in 1981/82 season.

For the next 5 years Dujković worked under various head coaches, with the exception of one season that he spent assisting Gojko Zec in United Arab Emirates.

That, coupled with his knowledge of Spanish made Dujković the head coach of Venezuela national football team where he spent three years.

In September 2004, the Portuguese-born Mariano Barreto quit the Ghana national football team to manage CS Marítimo in his native country.

He thus took over the helm of the squad featuring a much greater depth of talent than Rwanda – not to mention the few established stars playing in top European clubs like Sammy Kuffour, Stephen Appiah and Michael Essien.

Calls for his sacking particularly intensified in January 2006 after an indifferent display at the 2006 African Cup of Nations where Ghana got drawn in a fairly difficult group with Nigeria, Senegal and Zimbabwe.

In a very entertaining match, Ghana managed a famous 2-0 win despite missing several clear-cut scoring chances as well as failing to convert a penalty shot.

Third game pitted Dujković's team against the United States and they delivered once more, beating the Americans 2-1 and qualifying for the Round of 16 where Brazil awaited.

Dujković in turn, blamed the media for putting unmerited stress and pressure on him, a move that didn't go down well with the Ghanaian public.

[2] His main task was preparing the team for the 2008 Olympic Games on home soil for which the Chinese FA set the ambitious goal of reaching the semifinals.

In late 2006, Dujković led the team in 2006 Asian Games where they progressed out of the group on top before losing a quarterfinal thriller to Iran u-23 on penalties.

[citation needed] His competitive debut took place on September 5, 2009 at home versus Slovakia, and it ended with Serbia losing 1-2 on a goal in injury time.

In early February 2010, Nigeria Football Association reportedly made preliminary contact with Dujković about taking over the head coaching duties at their national team.

According to what Dujković told Serbian press, the potential deal included coaching Nigeria for four months conclusive with the 2010 World Cup.

FSS president Tomislav Karadžić said Dujković would be released from his contract without penalties should he request so, but ruled out allowing him to perform two jobs at the same time.

[15] Dujković claimed to the Serbian press that he was not fired, but rather that he quit over Syrian FA's decision not to allow him to bring his own assistant coaches.