Each player had surgery for a hand injury sustained during the Western Conference Final against the Edmonton Oilers.
"Similar surgeries, different fingers, thumbs," Avalanche coach Jared Bednar said Thursday. "So both guys are back. Kadri was in the gym this morning, doing everything he can to get back to being able to play."
Kadri left at 1:06 of the first period of Game 3 after he was boarded by Oilers forward Evander Kane. Kane received a major penalty and was later suspended one game. Kadri has 14 points (six goals, eight assists) in 13 games this postseason.
Cogliano left in the third period of Game 4 after blocking a shot with his hand while on the penalty kill. He has two goals and one assist in 11 games.
The Avalanche will face either the New York Rangers or Tampa Bay Lightning in the Cup Final; the Lightning took a 3-2 series lead in the Eastern Conference Final with a 3-1 win in Game 5 on Thursday.
Colorado, which completed the sweep of Edmonton on Monday, will have at least a week off in between games.
"We're hoping, depending on the timeline, they'll be able to make their way back into the finals," Bednar said. "We'll see how it goes when they get playing and whatnot. We're hopeful that that could be an option for us."
Bednar said Cogliano will still need "a day or two" before he resumes activities.
Colorado forwards Gabriel Landeskog and Andre Burakovsky and defensemen Devon Toews and Josh Manson did not practice Thursday because of maintenance.
"We have a couple of guys that are banged up a little bit," Bednar said Tuesday.
Goaltender Darcy Kuemper was a full participant and is available to play in the Cup Final. He has not played since sustaining an upper-body injury in Game 1 against the Oilers, but backed up Pavel Francouz in Game 4.