In August 2007, Tumbasević was transferred to Vojvodina, alongside Žarko Korać. He spent the following four years at the club, before moving to Moldova and joining Dacia Chișinău. In the first half of the 2012–13 season, Tumbasević was on loan at Zimbru Chișinău, before returning to Dacia Chișinău in early 2013.
In June 2016, Tumbasević signed with Mladost Lučani.[2] He spent three seasons with the club, making 102 appearances and scoring 14 goals across all competitions. After two years at TSC, Tumbasević returned to Mladost Lučani in June 2021.
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.[4]