Buuxi weedha soo socota: Ibragimov wuxuu la wadaagay kaalinta koowaad Vladimir Kramnik iyo Andrei Kharlov 1991 USSR Under-26 Championship. Waxaa la siiyay cinwaanka Grandmaster ee FIDE sanadkii 1993. Ibragimov wuxuu ku guuleystay Chigorin Memorial 1994 iyo Biel Masters Open tartanka 1997. Sannadkii 2002 wuxuu bilaabay inuu u ciyaaro Mareykanka, halkaas oo uu ku noolaa New Haven, Connecticut. Wuxuu ahaa mid ka mid ah guuleystayaasha tartanka US Open 2004 wuxuuna wadaagay kaalinta saddexaad ee tartanka US Chess Championship 2006. Ibragimov wuxuu u ciyaaray kooxda Mareykanka ee qaadatay bilada naxaasta ah ee
Olombikada Chess-ka ee 2006.