Whakaotihia te rerenga e whai ake nei: I te tau 1991 i toa a Neverov i te Whakamaumahara o Capablanca i Havana, a ko ia te toa o te Politiken Cup i te tau 1994. I tākaro ia mō Ukraine i te
Ko te 35th Chess Olympiad i Bled 2002. I uru ia ki te FIDE World Chess Championship 2004 engari i whakakorea i te rauna tuatahi e Shakhriyar Mamedyarov. I wikitoria a Neverov i te 2005/06 Hastings International Chess Congress. I taurite ia mo te tuatahi me Merab Gagunashvili i te putanga 2006/07 o te kaupapa kotahi, me Nidjat Mamedov me Vadim Malakhatko i te 2007/08.