He played 4 games in the National Hockey League with the St. Louis Blues during the 1995–96 and 1996–97 seasons.
Vasilevski played four seasons of major junior hockey (1992–1995) in the Western Hockey League (WHL) with the Victoria Cougars, Prince George Cougars, and the Brandon Wheat Kings.
The following season he was given three more games with the St. Louis Blues, but failed to stick with the NHL team.
Vasilevski went on to play 14 seasons in North America and Europe before retiring following the 2009–10 season which he played with HC Bilyy Bars Brovary in the Ukrainian Professional Hockey League.
This Ukrainian biographical article relating to ice hockey is a stub.