Kammala jumlar da ke gaba: An kira Osorno zuwa ƙungiyar 'yan wasan Mexico ta U-20 a 1999. Daga baya a wannan shekarar ya fara bugawa tawagar Mexico wasa, a kan Croatia a ranar 16 ga Yuni 1999. Ya buga wasanni da dama na kasa da kasa tare da Mexico, ciki har da gasar Copa América uku: 1999, 2001, da kuma
A shekara ta 2004. Osorno ya kasance memba na tawagar da ta doke Brazil a gasar cin kofin FIFA ta 1999, amma ba ta ga lokacin wasa a wannan gasar ba. Ya kuma rasa zuwa gasar cin kofin duniya ta 2002, inda ya kasance daya daga cikin 'yan wasan karshe da kocin Javier Aguirre ya yanke daga tawagar.