Kammala jumla mai zuwa: Reeves ya buga wasan hockey na matasa a gasar Hockey ta Yamma don Swift Current Broncos da Tri-City Amurkawa tsakanin 1988 da 1991. St. Louis Blues ne suka zaɓe shi a matsayin na 64 a jerin 'yan wasa.
1991 NHL Entry Draft kuma ya shafe shekaru uku tare da ƙungiyar 'yan wasan Hockey ta Duniya na Peoria Rivermen, daga 1991 zuwa 1994 duk da cewa bai iya shiga cikin St. Louis ba.