ɑːsˈoːɹɪˌoʊ wˈʌn hɪz fˈɜːst ˌɪntɚnˈæʃənəl kˈæp fɔːɹ mˈɛksɪkˌoʊ plˈeɪɪŋ ɪnðə fˈaɪnəlz ʌvðə kəŋkˈækæf ɡˈoʊld kˈʌp tˈʊɹnəmənt ɐɡˈɛnst bɹɐzˈɪl ˌɔn θˈɜːtiːn dʒuːlˈaɪ tˈuː θˈaʊzənd θɹˈiː, wˈɪnɪŋ wˈʌn zˈiəɹoʊ.
Osorio won his first international cap for Mexico playing in the finals of the CONCACAF Gold Cup tournament against Brazil on 13 July 2003, winning 1–0.