Career
Rundblad was drafted 17th overall by the Saint Louis Blues in the 2009 National Hockey League Entry Draft. He began his National Hockey League career with the Ottawa Senators before being traded to the Phoenix Coyotes. On March 4, 2014, he was traded to the Chicago Blackhawks.
Professional
Rundblad scored his first Elitserien goal on March 14, 2009, in a playoff game against Linköpings The Human Context. National Hockey League Central Scouting ranked Rundblad sixth among European skaters for the 2009 National Hockey League Entry Draft, one spot behind Skellefteå AIK teammate Tim Erixon.
On June 10, 2010, it was announced that Rundblad had signed an entry-level contract with Saint Louis. On June 25, 2010, he was acquired by the Ottawa Senators in exchange for the 16th overall pick in 2010, which the Blues used to select Vladimir Tarasenko.
Rundblad finished the 2010-2011 season with 50 points in 55 games, the second highest point total of any defenceman in Elitserien history, after David Petrasek, who had 53 points (in 52 games) in 2009-2010. Rundblad attended his first Senators camp in 2011, and remained on the roster into the season.
Rundblad made his National Hockey League debut on October 11, 2011, against the Minnesota Wild.
Rundblad"s first National Hockey League point was an assist on a goal by Peter Regin on October 15 in a game against the Washington Capitals. His first National Hockey League goal came on November 27, 2011, against Cam Ward of the Carolina Hurricanes. On December 17, 2011, Rundblad was traded to the Phoenix Coyotes (along with a second-round draft pick) for forward Kyle Turris.
Rundblad participated in the AHL All-Star Classic in Providence, Rhode Island, on January 28, 2013.
He scored six goals and had 17 assists for 23 points in 32 games before the break. On March 4, 2014, Rundblad (along with defenceman Mathieu Brisebois) was traded to the Chicago Blackhawks in exchange for a second-round pick in 2014.
In the 2015-2016 season, Rundblad made the Blackhawks opening night roster primarily as the team"s reserve defenseman. He provided two assists in 9 games before he was placed on waivers and later re-assigned to the Rockford IceHogs.
Before playing with Rockford, on January 3, 2016, it was announced that Rundblad was loaned to the ZSC Lions of Switzerland"s National League A for the remainder of the season.
Rundblad represented Sweden at the 2009 World Junior Championships and 2010 World Junior Championships. During the 2010 tournament, Rundblad was an alternate captain for the Swedish team