He started his playing career at FK Mladi Radnik in the second division in 1987, and was selected to play for the Yugoslav Olympic side in 1989. He coached FK Mladi Radnik in 1999-2000 and worked at the Serbia FA Football School in 2001-2002, before flying off to Kuwait to work as an assistant to Mohammed Ibrahim at Al-Qadissiya. He returned to Serbia to manage former club FK Mladi Radnik in 2003-2004 and helped the club to promotion, before working as an assistant coach at Al-Qadissiya for two seasons in 2005-2006 and 2006-2007. Helped guide lowly Al-Shabab to top flight in 2007-2008 season.
He was appointed head coach of Kuwait on February 1, 2009 on a year contract, on a monthly salary of $11,000 US. His contract was renewed for another 16 months on May 6, 2010 with a monthly contract worth 25,000 US. He had been working as an assistant to Mohammed Ibrahim during the 19th Gulf Cup in Muscat after being released on-loan by his club Al-Shabab for two months from November 23, 2008.
Under Tufegdžić, Kuwait had played 31 matches, winning 13 matches, drawing 14 and losing four matches with a goals record of 53 goals scored and 29 goals against. On 26th October 2013, he was appointed the head coach of Al-Ettifaq, replacing German Theo Bücker.