Twice runner-up at the European Blitz Championship, in 2006 and 2007, and French Rapid Chess Champion in 2009, 2011 and 2022, Fressinet won the last leg of the French Rapid Grand-Prix in Villandry and finished second in the Grand-Prix Final in Ajaccio in 2012.

In the 2013 Alekhine Memorial tournament, held from 20 April to 1 May, Fressinet finished sixth, with +1−1=7.

[4] In October 2015, Fressinet tied for 1st–3rd with P. Harikrishna and Gabriel Sargissian at the 2nd PokerStars Isle of Man International Chess Tournament in Douglas, Isle of Man[5] and won the 4th Anatoly Karpov Trophy rapid tournament in Cap d'Agde by defeating Karpov himself in the final 3-1.

[8] In April 2019, Fressinet joined chess24 as lead figure of the site's French team together with Josif Dorfman and Jean-Baptiste Mullon.

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