Career
Vukčević started his professional career at his hometown club Budućnost Podgorica. He played a total 52 league matches and scored 8 goals. Olimpija Ljubljana
On 23 August 2013, Vukčević transferred to the Slovenian club Olimpija.
He made his debut for Olimpija on 31 August 2013 in a match against Domžale, where his side lost 3–0.
On November 9, 2013, he scored his first goal for Olimpija in a league match against Domžale. Vukčević has appeared for Montenegro"s youth selections up to the under-21 level
He has been a frequently relied-on player for Montenegro U21 for the 2015 Union of European Football Associations European Under-21 Football Championship qualification.