 Markström signed a two-year contract with the Brynäs IF senior team on 12 May 2008.He had previously been playing for the Brynäs IF junior team.The following month, after solid performances in the Swedish Hockey League and internationally for Sweden in the Under 18 and World Junior tournaments, the butterfly style goalie was selected 31st overall in the 2008 NHL Entry Draft as the first choice of the Florida Panthers.