Musil played in the 2005 and 2006
Quebec International Pee-Wee Hockey Tournaments with a youth team from
Chomutov. Musil started his
junior ice hockey career in the
Western Hockey League (WHL) in a circuitous fashion, as he was initially passed over in the league's bantam draft because he was not living in Canada. Knowing the family would soon be moving to Vancouver, his father
Frank approached the
Vancouver Giants about "listing" Musil to obtain his rights. After this news became public, other teams in the WHL protested, and the league decided to hold a lottery draft specifically to determine Musil's initial destination in the league. The
Kootenay Ice won the draft and Musil's WHL rights. They promptly traded him to Vancouver, as Musil had made it clear he wished to play in his new hometown. Vancouver's director of player personnel, James Ripplinger, praised Musil's play during the season, "His poise with the puck when being pressured, not making any mistakes; he was such a reliable player." As a free agent from the Oilers, Musil opted to return to his native country after 8 seasons abroad, agreeing to a one-year deal with HC Oceláři Třinec of the Extraliga on July 31, 2017. ==International play==