On Monday, the Boston Red Sox introduced Chaim Bloom as the team’s chief baseball officer. He takes over for Dave Dombrowski, who was fired in September. Job No. 1 for Bloom is to get the payroll, which was the highest in MLB in 2019, under the luxury tax threshold for 2020.

That has led to rumors the Red Sox might be willing to trade 2018 American League MVP Mookie Betts, who will make close to $30 million in arbitration this winter and will become a free agent after the 2020 season.

But Bloom might have a way to shed payroll without losing Betts (or J.D. Martinez, who can opt out of his contract after the 2019 World Series), giving the Red Sox a chance to reload on the fly.

The Red Sox have $79 million committed in 2020 to Chris Sale, David Price and Nathan Eovaldi, all of whom spent time in 2019 on the injured list and underperformed last season. The Dallas Morning News reports the Texas Rangers might be willing to take some of those expensive arms off Boston’s books.

According to two sources, the Rangers have had internal discussions about the possibilities Boston could present. (General manager Jon) Daniels did not comment on the Red Sox situation Tuesday, but he never talks about other clubs.

Earlier this week, the New York Post’s Joel Sherman floated an idea of how the Red Sox and Rangers could come together for a deal.

So, for example, could Boston trade Price to Texas for Shin-Soo Choo ($21 million for 2020) and Rougned Odor (three years, $36 million left)? Boston would save $4 million toward the 2020 tax, get a one-year DH stopgap for Martinez in Choo and take on a distressed contract in Odor to balance some of the money and he can play second. Price, if healthy, fits with Lance Lynn and Mike Minor to provide a strong rotation top three to open a new stadium in Texas.

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Masslive.com reports Red Sox chairman Tom Werner met recently with Scott Boras, the agent for Martinez, but did not discuss a new contract for the 32-year-old slugger.

Mike Rosenstein may be reached at mrosenstein@njadvancemedia.com. Follow him on Twitter @rosenstein73. Find NJ.com on Facebook.