[7] He qualified through the 2007 European Individual Chess Championship for the FIDE World Cup 2007, in which he was knocked out by Konstantin Sakaev in the first round.

[11] In November 2009, he took part in the FIDE World Cup, where he sequentially knocked out Abhijeet Gupta, Gilberto Milos and Konstantin Sakaev, then lost to Sergey Karjakin in the fourth round.

[13] In March 2011, he tied for 1st–3rd with Evgeny Tomashevsky and Lê Quang Liêm in the Aeroflot Open, placing second on tiebreak.

[16] In January 2013, Vitiugov won the Masters tournament of the Tradewise Gibraltar Chess Festival beating defending champion Nigel Short in a rapid playoff.

[17] In the 2013 Alekhine Memorial, held from 20 April to 1 May, Vitiugov finished fifth, with a score of 4½ points from 9 games (one win, one loss, seven draws).

[24] In the following month, he competed in the FIDE World Cup, where he was knocked out in the second round by Le Quang Liem, after defeating Samvel Ter-Sahakyan in the first.

In 2016 Vitiugov tied for first in the Grenke Chess Open in Karlsruhe, Germany with Matthias Blübaum, Vladimir Fedoseev, Miloš Perunović, Ni Hua, and Francisco Vallejo Pons, taking third place on tiebreak.

Vitiugov made his debut in the Russian national team in August 2009 playing in the 6th China-Russia Match, held with the Scheveningen system.

[32] In July 2011 he took part in the 8th World Team Championship in Ningbo scoring 4/6 on board 5; thanks to this result, he won an individual gold medal.

[37][38] In November 2012 he helped his team to win silver at the 28th European Club Cup and also won individual bronze on board 3.

[42] His team, renamed to Mednyi Vsadnik ("Bronze Horseman") in 2015, won the gold medal again in the European Club Cup in 2018.