Reigning Art Ross Trophy winner and Canadian gold medal winner Martin St. Louis’ name has been in and out of play with the Rangers since Jan. 7, when he was bypassed by Team Canada (and Tampa Bay) general manager Steve Yzerman for his country’s Olympic roster, but no trade is pending that would bring the 38-year-old winger to New York, sources have told The Post.

Blueshirts’ general manager Glen Sather has inquired about a potential swap of team captains in which pending free agent Ryan Callahan would go to the Lightning in exchange for St. Louis, but Yzerman’s absolute lack of interest in dealing his leading scorer in exchange for a rental property has been made clear to the Rangers.

The Rangers have made no progress whatsoever in bridging the gap regarding a contract extension with Callahan, who is due in New York on Monday on his return trip from Sochi. His asking price of seven years at approximately $6.75 million per year is believed well beyond what the Lightning would be willing to pay to keep him from hitting the open market.

Sather, who has thus far been willing to go five years for approximately $6 million per (perhaps a tad more) to keep Callahan in New York, appears committed to dealing the 28-year-old, two-time USA Olympian to the highest bidder rather than allowing him to escape scot-free on July 1.

But the Rangers are not amenable to sending the required young pros, prospects and/or draft picks to the Lightning with Callahan in order to acquire St. Louis, who has a full no-move clause in his contract that expires after next season.

St. Louis, who carries a cap hit of $5.625 million, is believed to have met separately and a few weeks apart with club owner Jeff Vinik and Yzerman in the wake of being bypassed by his own GM for Team Canada.