Education
Until the end of the 2010-2011 season, Kosović recorded one more league appearance, as the club finished in third place.
Until the end of the 2010-2011 season, Kosović recorded one more league appearance, as the club finished in third place.
Vojvodina
Born in Nikšić, Kosović joined Vojvodina as a trainee. He made his first team debut for the club in a 3–1 home league victory over Sloboda Užice on 9 April 2011. He subsequently signed his first professional contract with Vojvodina, penning a three-year deal in February 2012.
Kosović also made one league appearance in the 2011-2012 season.
He scored his first senior goal for the club in a 3–3 away draw in last minute of the match against BSK Borča on 9 March 2013. He also extended his contract with Vojvodina in September 2013, to last until the summer of 2017.
Standard Liège
In January 2014, Kosović was transferred to Belgian side Standard Liège. = Loan to Újpest He signed a 4.5-year contract with the Reds, before being immediately loaned to Hungarian club Újpest.
He made his debut for Újpest against Budapest Honvéd and score the goal in 3-2 away defeat on 1 March 2014.
He eventually returned to Standard Liège in the 2015 winter transfer window, but failed to make any competitive appearance for their first team Partizan
On 7 August 2015, Kosović moved back to Serbia and signed with Partizan, penning a four-year deal. On 26 August 2015, in second leg of Play-off round of 2015-2016 Union of European Football Associations Champions League against BATE Borisov, he was part of the team
However, he has been on the bench.
Because of his good form, coach of Partizan, Ivan Tomić gave him a chance four days later against same club in Niš in the Serbian SuperLiga and he also played the full match. Kosović represented his country at the 2010 Summer Youth Olympics.
He scored a brace in a 2–3 group stage loss against Singapore. Kosović also capped for Montenegro at Under-17, Under-19 and Under-21 level
Kosović can play as central midfielder and attacking midfielder.
Kosović is a very technically gifted player. He possesses great long pass, good dribbling and vision. Many people compared Kosović with the legend of Partizan, Galatasaray and Serbian football, Saša Ilić.
In the following season, Kosović scored his first goal in Union of European Football Associations competitions, finding the back of the Netto in a 4–1 away win over Maltese club Hibernians on 4 July 2013. Led by his former manager Nebojša Vignjević, Kosović was a member of the team that won two major trophies (Magyar Kupa and Szuperkupa). He made his debut for the club on 22 August 2015, coming on as a substitute for Saša Lukić in a 3–1 away league win over Borac Čačak. On 2 March 2016, Kosović was been the first time in the starting lineup in the Partizan in Serbian Cup against Radnički Niš, playing full 90 minutes and providing two assists in a 2–0 home win. On 12 March 2016, Kosović scored his first goal for Partizan in a 3–0 home league win over Voždovac with a bicycle kick.