Gashimov played for Azerbaijan in the Chess Olympiads of 2002, 2004, 2006 and 2008. He played in the gold medal-winning Azerbaijani team at the European Team Chess Championship in Novi Sad in 2009, alongside Shakhriyar Mamedyarov, Teimour Radjabov, Rauf Mammadov and Gadir Guseinov. He won the bronze medal in 2007.