Whakaotihia te rerenga e whai ake nei: I te tau 2010 i takaro ia i runga i te papa 2 mo te kapa "Russia 2" i te
Ko te 39th Chess Olympiad, i whakahaerehia i Khanty-Mansiysk, Russia. I mutu tana kapa i te tuaono. I taurite ia mo te waahi tuatahi me Sergey Karjakin, Peter Svidler, Dmitry Jakovenko, Dmitry Andreikin me Vladimir Potkin i te 2012 Russian Championship Superfinal. I muri i te tukinga tere ki te whakatau i te toa, ka mutu a Alekseev i te tuaono. I te European Individual Chess Championship o te tau 2013, i taurite ia mo te waahi tuatahi me etahi atu kaitakaro e iwa nga tohu ka riro i a ia te mētara hiriwa i te tiebreak. I te tau 2017, i wikitoria a Alekseev i te toa o Saint Petersburg me te Viktor Korchnoi Memorial i St. Petersburg, ko tenei whakamutunga i eke ki Dmitry Kokarev, Gata Kamsky me Aleksandr Shimanov i runga i te tiebreak. I te tau 2019, i wikitoria ia i te 2nd Ferreira do Alentejo Open me te kaute 7.5/9 tohu.