Career
Strålman was selected on July 30, 2005, by the Toronto Maple Leafs as their fifth draft choice, 216th overall. He was picked in the seventh and final round of the post-lockout 2005 National Hockey League Entry Draft. Earlier the same year, on April 4, Strålman had signed a two-year contract with Timrå IK of the Swedish Elitserien.
During the following 2005-2006 season, Strålman adapted to Elitserien quickly and became a team regular.
On May 16, 2007, Strålman signed a three-year contract with the Toronto Maple Leafs. He made his North American professional debut on October 6, 2007, with the Toronto Marlies, the American Hockey League (AHL) affiliate of the Maple Leafs, and made his National Hockey League debut on October 23 in a home game against the Atlanta Thrashers.
On March 21, 2008, he scored his first career National Hockey League goal in a game against the Buffalo Sabres, then recorded his first multi-goal game against the Montreal Canadiens on March 29. During the 2009 off-season, Strålman was traded twice.
On July 27, he was traded to the Calgary Flames, along with Colin Stuart and a seventh-round draft pick in 2012, in exchange for Wayne Primeau and a second-round pick in the 2011.
Several months later, on September 28, he was traded by the Flames to the Columbus Blue Jackets for a third-round pick in 2010. As a free agent after the 2010-2011 season, Strålman was on a try-out contract with the New Jersey Devils, but did not stick with the team when the final team roster was released. On November 3, he then signed a one-year contract with the New York Rangers.
As a restricted free agent at the end of the season, he initially planned to bring the Rangers to a salary arbitrator, but on July 26, 2012, he signed a two-year, $3.4 million contract with New New York
On July 1, 2014, Strålman left the Rangers organization as an unrestricted free agent and signed a five-year, $22 million contract with the Tampa Bay Lightning. During the 2015 Eastern Conference Finals, the Lightning defeated his former team, the Rangers, in seven games.
On November 27, 2015, Strålman played in his 500th career National Hockey League game in a 2-4 Lightning loss to the Washington Capitals. Strålman will be out indefinitely as a result of the injury.
On March 2, 2016, the Swedish Ice Hockey Association named Strålman to its roster for the 2016 World Cup of Hockey.
Strålman will be joined by Lightning teammate Victor Hedman. The tournament is set to run from September 17 to October 1, 2016, in Toronto.