 Valladares akaita mutambo wake wekutanga kuHonduras mumutambo weFIFA World Cup muna Chikumi 2000 uchikwikwidza neHaiti uye, kubva muna Kukadzi 2013, akawana huwandu hwe135 caps, asina kurova zvibodzwa. Akamirira nyika yake mumitambo makumi mana nematanhatu yeFIFA World Cup uye akatamba mumitambo mitatu yese paFIFA World Cup ya2010. Akatamba pa2009uye 2011 UNCAF Nations Cups pamwe ne2011 CONCACAF Goridhe Cup uye 2001 Copa América. 