The two points were precious for the defending Stanley Cup champs. The Blackhawks are eighth in the Western Conference, three points ahead of Calgary for the final playoff spot.
Derick Brassard, Maksim Mayorov and Samuel Pahlsson scored for the Blue Jackets, Anton Stralman had career highs with three assists and points and Antoine Vermette added two assists.
Going sixth overall, Stalberg improved to 2 for 2 in shootouts this season.
Stalberg swooped in on Mathieu Garon, faked and stuck a backhand into the net.
ST. LOUIS (AP) - Jarome Iginla scored his second goal of the game with 5:03 left to reach 1,000 points and help Calgary rally to beat St. Louis.
Iginla became the 77th player in NHL history to record 1,000 points when he beat goalie Jaroslav Halak with a wrist shot on a breakaway for the Flames, down 2-0 in the second period.
Iginla also had an assist. He has 39 goals and 41 assists in 79 games this season and 480 goals and 520 assists in 1,103 career regular-season games - all for the Flames.
David Backes had a goal and an assist, and Matt D'Agostini also scored for Blues, eliminated from playoff contention when Chicago beat Columbus.
NEWARK, N.J. (AP) - Patrik Elias scored his eighth career hat trick and New Jersey beat Philadelphia to keep its faint playoff hopes alive.
Brian Rolston set up all three goals by Elias, rookie Nick Palmieri got the winner midway through the third period and Johan Hedberg made 34 saves in what was a must-win game for the Devils. New Jersey has to win its final five games and get a lot of help or it will miss the playoffs for the first time since 1996.
James Van Riemsdyk and Jeff Carter scored for Eastern Conference-leading Philadelphia. The Flyers have lost two in a row and three of four.
GLENDALE, Ariz. (AP) - Ryan O'Reilly tied it late in regulation, then had the only score in the shootout to give lowly Colorado a victory over Phoenix.
Shane Doan had a power-play goal and assist as the Coyotes rallied from a two-goal deficit to take a 3-2 lead, but O'Reilly scored on Colorado's only shot of the third period to send the game into overtime.
Philippe Dupuis and Jay McClement also scored for the Avalanche in their third victory in the last 17 games, all three in shootouts. Colorado is 6-1 in shootouts this season.
Lee Stempniak and Ray Whitney also scored for Phoenix.