Born in Nikšić, Grbović made his professional debut with Mogren in the Montenegrin First League in 2011.
In January 2014, he was loaned to Dutch side FC Twente at the age of 18, where he was deployed in the youth team.
[1] Over the course of the 2014-15 season, he scored a total of 8 goals over 24 games played at the age of 20.
[2] Although Mogren ended up regulated into the second tier, Grbović was offered a trial with Spanish club Valencia.
[2] After unsuccessful loan spells from Mogren, Grbović joined Sutjeska in 2015.