<prompt> Bhala ukuqhubeka kwalesi sigaba - U-Iturrizaga wanqoba iziqu ezine zenkundla kazwelonke ezilandelanayo kusukela ngo-2005 kuya ku-2008, futhi ubelokhu edlalela iVenezuela kuma-Olympic Chess kusukela ngo-2004. Ukusebenza kwakhe okuhle kakhulu kwafika ku-37th Chess Olympiad  <response>: 2006, lapho athola khona amaphuzu angu-8.511 edlala ebhodini lesibili. Umphumela wamenza wathola indondo yethusi. Wafanelekela i-Chess World Cup 2007 ngemuva kokuhlanganyela endaweni yokuqala e-American Continental Championship. Wayehlelwe ukuthi abhekane noPeter Svidler emzuliswaneni wokuqala, kodwa walahlekelwa ngumdlalo wokuqala ngenxa yokulahleka phakathi kwezindiza zaseRussia. Walahlekelwa umdlalo wesibili. Ngo-2008, u-Iturrizaga wanqoba i-online qualifier ye-C-group ku-2009 Corus Chess Tournament, wanqoba i-GM u-Alexander Fier ngo-3-1 ekugcineni. Wagcina esendaweni yesishiyagalombili kwabayishumi nane emqhudelwaneni omkhulu, efaka amaphuzu angu-5.513. U-Iturrizaga waqeda endaweni yesibili ku-2008 Ibero-American Championship eLinares, eSpain, elahlekelwa uJulio Granda ekugcineni. U-Iturrizaga wayengumuntu wokugcina ukufika emqhudelwaneni, kwadingeka adlale umdlalo owodwa ebusuku, futhi wacishe wephuza komunye wemidlalo. 