Pedzisa mutsara unotevera: Valdez akamiririra Paraguay pamakwikwi e2006 ne2010 FIFA World Cup, akapindawowo mumakwikwi e2006 FIFA World Cup.
2004, 2011 uye 2015 Copa América makwikwi; muna 2011 Paraguay yakapedza runners-up. Valdez akaita zvinopfuura makumi manomwe zvemitambo yenyika uye akarova zvibodzwa gumi nezvitatu, chimwe chezvinangwa zvake chichiuya mukukunda nhoroondo 1<unk>0 vachipesana nevakwikwidzi veArgentina musi wa9 Gunyana 2009 iyo yakachengetedza kukodzera kweParaguay ku2010 World Cup uye mhedzisiro yacho kuve kukunda kwechipiri kweParaguay kukunda Argentina.