Bäckström won the 1998 World Junior Ice Hockey Championships as a backup goaltender for the Finnish national team, along with players like Olli Jokinen, Niklas Hagman, Mika Noronen, Niko Kapanen, Toni Dahlman and Eero Somervuori. Bäckström was the third goaltender for Finland in the 2006 Winter Olympics in Turin, but did not play any games. In the Finnish SM-liiga, he played for HIFK, SaiPa and Kärpät. Bäckström led Kärpät to two consecutive league titles in 2004 and 2005. Subsequently, Bäckström signed a one-year contract with the Minnesota Wild of the NHL on 1 June 2006.