Coltorti was called up to the 2006 FIFA World Cup despite having only one cap for the Switzerland national team, won in a friendly with Scotland on 1 March 2006.
kˈoʊltɔːɹɾi wʌz kˈɔːld ˌʌp tə ðə tˈuː θˈaʊzənd sˈɪks fˈiːfə wˈɜːld kˈʌp dᵻspˈaɪt hˌævɪŋ ˈoʊnli wˈʌn kˈæp fɚðə swˈɪtsɚlənd nˈæʃənəl tˈiːm, wˈʌn ɪn ɐ fɹˈɛndli wɪð skˈɑːtlənd ˌɔn wˈʌn mˈɑːɹtʃ tˈuː θˈaʊzənd sˈɪks.