Kammala wannan jumla: Svatoš an tsara shi ne a 227th gaba ɗaya ta Colorado Avalanche a cikin
2001 NHL shigar da daftarin aiki. Ya buga wasanninsa na farko na NHL don Avalanche a cikin kakar 2003-04. Bayan kyakkyawan wasan kwaikwayon a wasan zagaye na biyu na Avalanche a wasan karshe, ya koma kungiyar AHL ta Avalanche, Hershey Bears, a lokacin 2004 NHL Lockout. Svatoš ya yi rikodin wasan sa na farko a cikin NHL a kan Calgary Flames a cikin nasara 7-3 a ranar 10 ga Oktoba 2005. An zaɓe shi don yin wasa a Wasannin Olympics na hunturu na 2006 a Turin, Italiya, a matsayin wani ɓangare na ƙungiyar 'yan wasan Slovakia.