Much like Friday's game, it was Robert Nilsson that assisted on Cogliano's winner. He had the puck at the right point before threading the needle right on the stick of Cogliano.
Cogliano then redirected the puck past Lalime for the winner.
"I got speed through the neutral zone and made a pass to him," said Cogliano. "He's so good at finding guys going to the net. I was just trying to beat the defenceman. He put it on my stick and I had an empty net."
Dustin Penner took a penalty 17 seconds into the game to put the Oilers down a man but Edmonton had the best chances early on.
Marty Reasoner fired two shots from in front of the net, almost sneaking the puck past Blackhawks starting goaltender Patrick Lalime.
Later on that same shift, Jarret Stoll had several chances to score the game's first goal.
Late in the power play, Dustin Byfuglien wrapped the puck around the net but Garon got his pad against the post to make the save. Dave Bolland swooped in for the rebound and the Oilers goaltender got his glove on that shot.
Shortly after the penalty expired, Rene Bourque was sent off for holding the stick to give Edmonton a man advantage of their own.
It only took the Oilers 25 seconds to connect on the power play for their first goal of the game. Joni Pitkanen's attempted shot from the side boards went off the skate Brent Seabrook and right on the stick of Penner in the slot. He spun around to backhand it in for the goal.
Near the midway point of the period, Chicago struck to tie the game at 1-1. Jonathan Toews made a nice backhand pass over to Patrick Sharp at the left circle. He blasted it by Garon for the tying goal.
Tom Gilbert almost put Edmonton back in front when his point shot rang off the post behind Lalime.
Late in the first, Glencross hammered Jordan Hendry from behind in the corner, receiving a two-minute penalty on the play. Craig Adams dropped his gloves and immediately went after Glencross after the hit. The result was a Chicago power play.
21 seconds into the man advantage, Reasoner clipped with a Patrick Kane with a high stick to put Edmonton down two men for the remainder of the period.
Shots on goal after one period were 10-9 for Chicago.
Edmonton was able to kill off their two-man disadvantage but found themselves in more penalty trouble to start the second. Tom Gilbert received two for holding 2:10 into the middle frame.
Gilbert took another penalty seven minutes into the period, this time for hooking. Late in the ensuing power play, the Oilers had a shorthanded chance when Brodziak and Stoll skated in on a two-on-one. Stoll fanned on the one-timer attempt following a pass from Brodziak which caused the play to head back in the other direction.
Coming back the other way, Duncan Keith fired a blast that beat Garon high to give the Blackhawks their first lead of the day at 2-1.
A minute and 41 seconds later, Glencross scored a highlight reel goal to tie it for Edmonton. Glencross cut across the slot before wristing a shot over the shoulder of Lalime with pinpoint accuracy, making it a 2-2 game.
Chicago moved back in front 1:50 after the Glencross goal. Andrew Ladd's wraparound attempt was initially stopped by Garon but the puck went undetected as it sat on the goal line. Jason Williams jammed at the loose puck, pushing it into the net.
With just over a minute to play in the second period, Robert Nilsson scored to tie the game once again at 3-3. Sam Gagner won the draw and carried the puck down the ice. He was stripped of the puck by Keith but it still dribbled to the slot where Nilsson slipped it past Lalime.
Shots after two periods were 27-12 for Chicago. They were 17-3 overall for the Blackhawks in the middle frame.
Reasoner scored early in the third period to put Edmonton up 4-3. During a scramble for the puck right off the faceoff, he spun and fired the puck low short side for the go-ahead marker.
24 seconds after the Reasoner goal, Zack Stortini received a penalty for hooking. Chicago scored on the power play that followed to tie the game once again - this time at 4-4.
Robert Lang's shot from the right circle beat Garon for the goal, resulting in a tie game for the fourth time on the afternoon.
The Oilers came within inches of taking the lead five minutes into the period. Grebeshkov took a pass at the left circle and had Lalime at his mercy but instead opted to skate in and deke around the Blackhawks goaltender. He fed it across the crease to Pisani but the Oilers winger couldn't get his stick on the puck to backhand it into the open net.
Moments later, Lalime made a great save on Glencross, extending his arm out to get a blocker on the puck.
Edmonton finally did take a 5-4 lead on the next shift. Gagner stripped Cam Barker of the puck behind the Blackhawks net before backhanding it to Cogliano. He one-timed it into the back of the net.
With 4:35 to go in the third, Dustin Byfuglien scored to tie the game at 5-5. Byfuglien directed the shot on net and Staios whacked at it in front. The puck bounced in off Garon's pads and in.
At the end of regulation time shots on goal were 37-23 for Chicago.