Kammala jumla mai zuwa: Ya taka leda a gasar zakarun duniya ta biyu a shekara mai zuwa a
2002, ya zira kwallaye biyar a wasanni shida yayin da Finland ta ci wata lambar azurfa. Hakanan ya nuna lambar yabo ta huɗu da ta ƙarshe ta Koivu a wasan matasa na duniya. Waɗannan shekarun ƙuruciya kuma sun nuna farkon haɗin gwiwar Koivu na dogon lokaci a cikin ƙungiyar ƙasa tare da Tuomo Ruutu, wanda aka haɗa shi da shi sau da yawa a matsayin mai kunnawa mai cin kwallo mai tasiri tun daga lokacin, kamar yadda babban ɗan'uwansa Saku ya kasance tare da Teemu Selänne.