Jackman announced he was retiring as the clawed "X-Men" character after last year's "Logan", but Reynolds is determined to bring his movie rival back for a future "Deadpool" movie - and he's not about to let go of his dream.
"I call him every other day and every other other day, he takes my call," Reynolds tells U.S. chat show host Ellen DeGeneres, revealing the two stars' social media "feud" has become a "war."
Jackman was asked about Ryan's remarks during a Tuesday morning, December 04, interview on "Today", and said, "We're going to a new level, I didn't know that! I'll take on the war!"
"We do speak every other day and he always says he's calling me about 'Deadpool'/'Logan'."
Jackman still insists it's unlikely he'll return to the big screen as Logan or his alter ego Wolverine, but perhaps he and Ryan will team up onstage.
"He calls me every other day wanting to be in my one-man show, singing and dancing as Deadpool. I'm like, 'Dude, I don't think you can sing or dance', unless you can...? That's the challenge, I'm laying out the challenge!"
Meanwhile, Reynolds is currently promoting the PG-13 re-release of "Deadpool 2", titled "Once Upon a Deadpool", which opens in cinemas later this month.