Gagunashvili won the 2006/07 Hastings International Chess Congress edging out on tiebreak defending champion Valeriy Neverov, after both players scored 7/9 points.

In 2009 he tied for 3rd–8th with Anton Filippov, Elshan Moradiabadi, Vadim Malakhatko, Alexander Shabalov and Niaz Murshed in the Ravana Challenge Tournament in Colombo.

[3] In 2011 he tied for 1st–4th with Gadir Guseinov, Evgeny Gleizerov and Sergei Tiviakov in the 19th Fajr Open Chess Tournament.

[4] He took part in the FIDE World Chess Championship 2004, but was knocked out in the first round by Smbat Lputian.

[5] Gagunashvili has stated his favourite players were Bobby Fischer and Garry Kasparov because "they both brought something new to chess."