DePaul Blue Demons Information, The Blue Demons of DePaul University compete in the NCAA Division 1 Big East Conference. Their biggest sport by far is men’s basketball; a program that has made 22 NCAA Tournament appearances. Although they were Conference champs in 2004, they haven't reached the final four since 1979. Heading into the 2009-2010 season the basketball team will look to a new direction after finishing 0-18 in regular season Big East play (which set a school-record for longest losing streak).