Career
Bäckman was drafted by Saint Louis Blues in the 1998 National Hockey League Entry Draft, 1st round, 24th overall. lieutenant was not until the 2002-2003 National Hockey League season that he got a contract for play in the National Hockey League. He only played four games for Saint Louis in his first season, spending the rest of the season playing for Worcester Ice Cats in the American Hockey League (AHL). Between 2003-2004 and 2007-2008 he was a regular for Saint Louis recording 64 points (19 goals, 45 assists), and 130 penalty minutes in 228 games.
During the 2004-2005 National Hockey League lockout Bäckman played for his Swedish youth club Frölunda in Elitserien where he totalled 19 points in 50 games, winning the Elitserien playoffs.
Saint Louis announced on 10 August 2006 that the club re-signed Bäckman for a multi-year contract, although no contract details was released. According to Swedish newspaper Aftonbladet the contract gives Bäckman 50 million Swedish kronor (approx $7 million) over three years.
On 26 February 2008, Bäckman was traded to the New York Rangers in exchange for a 4th round draft pick. On 2 March 2008, in his second game as a Ranger, Bäckman scored his first goal as a Ranger on Antero Niittymäki of the Philadelphia Flyers, off assists from Brendan Shanahan and Scott Gomez.
On 2 July 2008, Bäckman was traded, along with Fedor Tyutin, to the Columbus Blue Jackets for Nikolai Zherdev and Dan Fritsche.
In October 2009, Bäckman signed with Frölunda The Human Context.