Rangers are likely to attempt to bring Artemi Panarin to Broadway when the free-agent market opens Monday, but sources said the team will not engage in a bidding war in order to secure the skilled winger.

It is true that carefully crafted intentions sometimes go kablooey when the bell rings and the pressure to do something mounts — as it did two summers ago when the Rangers improvised at the last moment on Kevin Shattenkirk.

But club president John Davidson is a disciplined guy who has a history of not freelancing or overreacting. We are told that if the Blueshirts extend Panarin an offer of seven years in the range of $11 million to $11.25 million, they would not then increase their offer to match or exceed higher bids.

Panarin, who recorded 87 points (28-59) last year for the Blue Jackets, met with the Rangers’ upper management Thursday at the Garden. The Russian, who will turn 28 on Oct. 30, is also being pursued by the Islanders and Panthers, both of whom have something to offer the Rangers do not. That is the ability to sign both Panarin and fellow pending Columbus émigré and countryman Sergei Bobrovsky, the goaltender who will turn 31 on Sept. 20.

Roberto Luongo’s retirement has created the opening for the Panthers, who also have the advantage of no state income tax to present.

Meanwhile, it seems as if the Islanders’ Robin Lehner, who had a career year in combining with Thomas Greiss to form the goaltending tandem that allowed the fewest goals in the NHL, will become a free agent on Monday. Thus, it appears the Islanders’ No. 1 job will be open.

And general manager Lou Lamoriello has been known to make a splash in the Caspian Sea when it comes to signing free agents to whopping contracts (mumble, grumble, Ilya Kovalchuk).

The Panthers and Islanders would have to do some trimming on the edges to accommodate the $22 million to $24 million that would go to signing Panarin and Bobrovsky, but it would be manageable.

The Rangers appear to be leaning toward extending Panarin a whopping contract, though our understanding is that a firm decision had not been reached. Signing the winger, who has recorded 116 goals, 204 assists and 320 points through his four-year career would trigger various moves over the summer to clear cap space and would imperil Chris Kreider’s long-term future as a Blueshirt.

But if Panarin, through his agent, Paul Theofanous, pits the Rangers against the Panthers, Islanders or both in a high-stakes match game, the Blueshirts are unlikely to play.

Additionally, The Post has learned the Rangers have told agents calling on behalf of their respective clients that the team is not looking to sign support players to anything longer than two-year contracts. That essentially would eliminate candidates such as Joonas Donskoi and Garnet Hathaway.

The Rangers are, however, intrigued by the possibility of a reunion with 34-year-old Brian Boyle, who likely could be had on a one- or two-year deal. Boyle, who has emerged as one of the league’s most universally respected players and leaders since leaving the Blueshirts as a free agent following the run to the 2014 Cup final, likely would be amenable to a short-term deal. But he is expected to receive several offers, perhaps as well from the Devils, Islanders or both.

General manager Jeff Gorton had substantive contract talks with Jacob Trouba’s agent, Kurt Overhardt, at the draft in Vancouver, The Post has learned. The parties did not reach an agreement, but the pending restricted free agent defenseman, acquired on June 17 from Winnipeg for the 20th-overall pick in the draft and Neal Pionk, is expected to sign a seven-year deal in the tony neighborhood of $7.5 million to $8 million per.