Dr. Gil Salazar of UT Southwestern Hospitals said Peverley was treated "successfully" for a cardiac event at American Airlines Center.
"We provided oxygen for him," Salazar said. "We started an IV. We did chest compressions on him and defibrillated him, provided some electricity to bring a rhythm back to his heart, and that was successful with one attempt, which is very reassuring.
"As soon as we treated him, he regained consciousness. He was able to tell me where he was."
Many in the hushed crowd lingered long after the postponement was announced "as a result of the emotional state of the players on both teams caused by the medical emergency." The NHL didn't say when the game would be rescheduled.
Peverley's wife, Nathalie, accompanied him to a hospital, and the Stars essentially told the Blue Jackets they weren't up for finishing the game.
"They're shaken and they want to reschedule. We understand that," John Davidson, the Blue Jackets' president of hockey operations, told Fox Sports Ohio. "They were shaken to the core."
Peverley missed the preseason and the season opener after the procedure during training camp. He made his Stars debut on Oct. 5 against Washington.
"We monitor him closely for a different type of arrhythmia he has," Salazar said. "He does have a pre-existing condition, and the condition — a normal quivering of the heart that does not allow him to send blood to places where he needs to, in his brain and heart."
Peverley sat out last week's game at Columbus and couldn't fly because he felt strange. But he played in Dallas' next two games before Monday.
"There wasn't any concern," Ruff said. "Our doctors have done a fabulous job monitoring the situation."
In 62 games this season before Monday, Peverley had seven goals and 23 assists.