Tumbasević made his senior debut with Zeta under manager Nikola Rakojević in the second half of the 2001–02 First League of FR Yugoslavia.
He spent the following four years at the club, before moving to Moldova and joining Dacia Chișinău.
[2] He spent three seasons with the club, making 102 appearances and scoring 14 goals across all competitions.
Tumbasević represented FR Yugoslavia at the 2002 UEFA European Under-17 Championship, as the team were eliminated in the quarter-finals by England, thanks to Wayne Rooney's goal.
[3] At full international level, Tumbasević earned four caps for Montenegro, making his debut in the country's inaugural match, a 2–1 home friendly win over Hungary on 24 March 2007.