"There is mutual interest by both parties to strike a deal and we are reviewing some concepts to keep Matt in Pittsburgh," Cooke's agent Pat Morris told the Tribube-Review.
In 48 games with the Penguins this past season, Cooke registered eight goals and 13 assists for 21 points, along with 36 penalty minutes.
Dupuis' agent, Allan Walsh, told the paper there were no new developments "at this point," after the two sides first spoke on June 17.
With a limited amount of top-talent available in the free agent market, Dupuis might be able to command more on the open market. The native of Laval, Quebec, is believed to be looking for an annual salary in between $3 million to $4 million.
In 48 games this past year, Dupuis was third on the Penguins in goals (20), third in points (38) and first in plus-minus (+31).