 On 29 May 2010 they defeated Kom 11-0, which is the biggest margin of victory in the history of league.Five years later, on 23 May 2015, OFK Grbalj beat Mornar in Bar 7-0, which is the biggest away victory in league.In the 2016-17 season, OFK Grbalj had the greatest success in their history by reaching the Montenegrin Cup final.