[8] At the 8th Dubai Open in 2006, Sargissian scored 7/0 points, sharing first place with Sergey Fedorchuk and compatriot Tigran L.
[9] In 2007 he won the Ruy Lopez Festival (Zafra, Spain, March 16–25) finishing with 6.5/7, a 2½ point margin above the rest, including in particular the players Ponomariov, Sasikiran, I. Sokolov,[10] and with a 3021 performance rating.
[17] In November 2017, Sargissian won the silver medal for individual performance on board 3 with a 2797 TPR, 6.5/9 score (+4, =5) in the European Team Chess Championship.
[18] In December 2017, he shared 1st–3rd places with Hrant Melkumyan and Sebastien Maze in 9th CSC London Chess Classic FIDE Open.
[22] Svidler's comment proved to be true once again at the 2022 Chess Olympiads, where Armenia's Silver Medal was largely due to Sargissian's stellar performance in board one, where in the last decisive five rounds he scored 4.5 points, with wins over 4 grandmasters with ratings above 2700: Caruana, Pentala Harikrishna, Mamedyarov and Shirov.
The Armenia national chess team won gold ahead of China and the United States.
[25] He played on board three and defeated Alexander Grischuk, the only win in a game with Russia, putting Armenia in the lead.
[29][30] Upon returning to Yerevan, the players were welcomed back with a ceremony by many people in the city the moment their airplane touched down in Zvartnots Airport.
[33] Sargissian played for "CA Linex Magic Mérida" (Spain) in the 23rd European Chess Club Cup in Kemer 2007, winning team gold medal.
The wedding took place on 28 June 2013 at the Saint Sarkis Cathedral, Yerevan, with Armenian President Serzh Sargsyan in attendance.