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 a head coach to 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. 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 26 October 2013, he was appointed the head coach of Al-Ettifaq, replacing German Theo Bücker. During second half of the season 2015-2016, Tufegdžić was appointed the head coach of Al Wakrah Club, Qatar and saved club from relegation. Season 2016-2017 he was working as head coach of UAE pro league Kalba SC. Season 2017-2018 he guided Baniyas FC, securing first place in UAE First Division league with remarkable winning percentage of 72,73.
1st place - Kuwait Premier League 2002 /2003 3rd place - Al Kharafi Champion Cup 2003 / 2004 1st place - Crown Prince Cup 2003 /2004 1st place - Kuwait Premier League 2003 / 2004 1st place - Al-Ameer Cup 2003 / 2004
2nd place - 1st Division Serbian League 2004 / 2005 3rd place - 1st Division Serbian League 2005 / 2006 1st place - Al-Ameer Cup 2006 / 2007 Semi Finals - Asian Champion League 2006 / 2007 Finals - Gulf Cup 2006 / 2007 1st place - 1st Division Kuwaiti League 2007 / 2008 Semi Finals-Arabian Golf Cup 19 Oman 2009 2nd place - Qualification for AFC in Qatar 2011 1st place - 6th West Asian Football Federation Championship 2010. 1st place—20th Arabian Gulf Cup - Jemen 2010 1st place—tournament in Jordan 2011 3rd place - Arab Games in Doha 2011 - Kuwait national football team declared as most developed national team in Asia 3rd place - Arab Gulf Cup Bahrain 2013 1st place - UAE First Division league 2017/2018
