Career
Born in Titograd, Social Research Montenegro, Vukčević began his career playing for local side FK Budućnost Podgorica. He would also play for FK Spartak Subotica, before joining Greek Superleague side Panachaiki F.C. in 1999. He spent four seasons in the Greek top flight with Panachaiki, making 100 league appearances for the club
Late in his playing career, Vukčević was a player-coach for FK Kom.
Later, he joined the staff of FK Budućnost Podgorica, and became the club"s caretaker co-manager in 2010.