[3] In 2008, he won the 4th Inautomarket Open in Minsk[4] and tied for 3rd–7th with Rauf Mamedov, Denis Yevseev, Vasily Yemelin and Eltaj Safarli in the Chigorin Memorial.

[11] In the Tal Memorial played in June 2013, Andreikin was the lowest rated player, but he went through the tournament undefeated with eight draws and a win against Vladimir Kramnik, which gave him a shared third to fifth place.

[12] In the Chess World Cup 2013, held in Norway from 11 August to 2 September, Andreikin finished in second place, losing to Kramnik in the four-game final match 1½–2½.

In October–November 2014 he scored a major success in the second leg of the FIDE Grand Prix in Tashkent, winning the tournament ahead of Hikaru Nakamura, Shakhriyar Mamedyarov, Fabiano Caruana and eight other elite grandmasters.

[15] However his other Grand Prix results were not as good, and he was knocked out of the Chess World Cup 2015 in round of 16 by eventual winner Sergey Karjakin, so he missed qualification for the 2016 Candidates Tournament.

[23][24] He occasionally streams Titled Arenas and Team Battles held on Lichess on his YouTube Channel with the username "FairChess" to his 13 thousand subscribers.