He made his debut for New Caledonia on 14 June 2008 in the 0-0 draw with Vanuatu.
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Kaï was called up to New Caledonia's squad for the 2011 Pacific Games.
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Following his impressive showing at the 2011 Pacific Games and the 2012 OFC Nations Cup, in July 2012 the Oceania Football Confederation announced that Kaï had won the men's Oceania Footballer of the Year award, beating fellow nine fellow nominees including New Zealand's Shane Smeltz and Chris Wood, and Jean Kaltack of Vanuatu.
Bertrand Russell | Chiang Kai-shek | Jean-Bertrand Aristide | Bertrand Tavernier | Kai Tak Airport | Bertrand Cantat | Yann Arthus-Bertrand | Chiang Kai-Shek | Bertrand Delanoë | Bertrand Burgalat | Kai Winding | Kai Hansen | Kai Eckhardt | Kai Althoff | Kai | Bertrand R. Brinley | Bertrand de Jouvenel | Sun Hung Kai Properties | Saint-Bertrand-de-Comminges | Plastic Bertrand | Mathieu Bertrand | Kudo-kai | Kai Province | Kai Islands | Kai Holst | Kai-Fu Lee | Kai En Tai | John Bertrand Conlan | Henri Gatien Bertrand | Chiang Kai-shek Memorial Hall |