Mogren

In 2008, Grbić joined FK Mogren from Budva. At the time of Grbić's arrival, Mogren was an ambitious team with coach Branislav "Brano" Milačić and memorable generation of players from the Montenegrin national team involving the likes of Radoslav Batak, Ivan Janjušević, Janko Simović, Marko Ćetković, and Draško Božović.^[3] Grbić was a member of the Mogren squads which won the Montenegrin First League in 2009 and 2011.

Olympiacos

In July 2011, Greek side Olympiacos earned Grbić's signature in a €1 million transfer from Mogren.^[4] During the team's summer camp that year, coach Ernesto Valverde only employed Grbić as a substitute, preferring the likes of Kevin Mirallas.^[5] He spent the rest of his time at Olympiacos on loan, first to Levadiakos, followed by Hapoel Be'er Sheva, OFK Beograd, and finally to Partizan.^[6][7]

Partizan

On July 13, 2013, Grbić joined Partizan on loan from Olympiacos.^[12] In January 2014, Olympiacos officially traded Grbić to Partizan in an exchange for Marko Šćepović.^[13] On March 18, 2015, Grbić scored the opening goal in the 2015 Serbian Cup semi-final, after which he ran to his team's bench to put on a second left cleat.^[14] The stunt was meant as a response to Serbia's Prime Minister Aleksandar Vučić, who commented before the match that "some players in Partizan have two left legs".^[14] Vučić apologized on his Twitter profile and congratulated Grbić in his tweet.^[14]

Akhisar Belediyespor

In January 2016, Grbić moved to Turkish club Akhisar Belediyespor, where he initially saw playing time but was subsequently loaned to Adana Demirspor, a team which had just been promoted to the Turkish Süper Lig.^[15] In an interview with Serbian sports portal HotSport, Grbić suggested that the financial situation in Adana Demirspor was unstable at the time he left.^[15]

Budućnost

In December 2017, Grbić signed with Montenegrin club Budućnost.^[16]

He returned to the club in June 2019 after a year at Radnički Niš.