 Nyora kupfuurira kweiyi ndima - Muna 1991 Neverov akakunda Capablanca Chirangaridzo muHavana, uye aive anokunda Politiken Cup muna 1994. Akatamba kuUkraine mu35th Chess Olympiad kuBled 2002. Akatora chikamu muFIDE World Chess Championship 2004asi akabviswa mumutambo wokutanga naShakhriyar Mamedyarov. Neverov akakunda Hastings International Chess Congress muna 200506. Akafananidza wekutanga naMerab Gagunashvili muna 200607 edition yechiitiko chimwe chete, uye naNidjat Mamedov naVadim Malakhatko muna 200708. 