Tuhia he haere tonu mo tenei irava - 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 takaro ia mo Ukraine i te 35th Chess Olympiad
i te tau 2002 i Bled. 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.