"Plus you're talking about giving away four No. 1 picks," Luukko said. "We like what we have and the [salary-cap] flexibility we have moving forward - and that's important."
Stamkos, who has an NHL-best 96 goals over the last two seasons, is a restricted free agent. Even if the Flyers had given him an offer sheet, Tampa could have matched it.
The Lightning could have waited seven days before matching the offer, effectively crippling the Flyers' pursuit of unrestricted free agents.
Luukko said the published numbers being floated around - some said the Flyers were considering a 12-year deal for $115 million - were bogus.
"We never got to numbers. Never got that serious," he said.
Luukko said that he, Holmgren, and club chairman Ed Snider kicked around the idea of what Stamkos would mean to the Flyers, but that it didn't make sense to dismantle the team.
Now the Flyers will turn their attention to the free-agency period, which starts at noon Friday.
The Flyers are considering several options, including winger Erik Cole, who won a Stanley Cup with coach Peter Laviolette in Carolina.
Other tempting free agents include Michael Ryder, Jamie Langenbrunner, Michal Handzus, Simon Gagne, and John Madden. The Flyers are not pursuing Brad Richards, a club source said.
The Flyers would like to re-sign prospective free agent Ville Leino, but they had not made much progress as of Thursday night.
The Flyers could land Jagr, a five-time NHL scoring champion. He wants to return to the NHL after playing three seasons in Russia. He is also being courted by Pittsburgh, Detroit, and others and is expected to get about $2 million a year.
Carter responds. Jeff Carter, in a conference call with reporters Thursday, said he has finally come to grips with the deal that sent him to Columbus for Jakub Voracek and two draft picks.
"I know it's part of the game," he said.
Carter, who averaged 38 goals over the last three seasons, acknowledged that he and his best friend, Mike Richards, were floored to each be traded.
"It was definitely a tough time for both of us," he said, adding he was excited to have a "fresh start" in Columbus.
Carter, 26, said he enjoyed living in Philadelphia and playing before sellouts virtually every night. The fans, he said, made every game "a huge pickup for the team."
Carter said he was undecided about whether he would keep his home in Sea Isle City. "I obviously love being down there," he said of the Shore.
Contact staff writer Sam Carchidi at email@example.com or @BroadSt.Bull on Twitter.