Whakaotihia te rerenga e whai ake nei: I tohaina e Ibragimov te waahi tuatahi me Vladimir Kramnik me Andrei Kharlov i te 1991 USSR Under-26 Championship. I whakawhiwhia ia ki te taitara o te Kaiwhakaako Nui e FIDE i te tau 1993. I wikitoria a Ibragimov i te Chigorin Memorial i te 1994 me te whakataetae Biel Masters Open i te 1997. I te tau 2002 ka tiimata ia ki te takaro mo te United States, i noho ai ia ki New Haven, Connecticut. He toa tahi ia mo te 2004 US Open me te tuatoru o nga waahi i te 2006 US Chess Championship. I takaro a Ibragimov mo te kapa US i riro i a ia te mētara parahi i te
Ko te 2006 Chess Olympiad.