Getty Ryan Dempster

Red Sox “mostly focused on” Dempster, Sanchez, Lohse, Marcum, Liriano

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As the Red Sox continue to look for rotation help Sean McAdam of CSNNE.com reports that they’re “mostly focused on” Anibal Sanchez, Ryan Dempster, Kyle Lohse, Shaun Marcum, and Francisco Liriano.

McAdam calls Sanchez “something of a longshot” because the Red Sox probably won’t want to pay his asking price and Dempster reportedly already turned down Boston’s two-year, $25 million offer, but it’s possible they could go three years to get him.

For now the Red Sox have Jon Lester, Clay Buchholz, and Felix Doubront in the rotation, with John Lackey likely as well depending on how he returns from Tommy John elbow surgery and Franklin Morales around as a fifth option.

UPDATE: Ken Rosenthal of FOXSports.com says the Red Sox are in “serious negotiations” with Dempster right now.

Braves ink Blaine Boyer to a minor league deal

DENVER, CO - OCTOBER 2:  Relief pitcher Blaine Boyer #48 of the Milwaukee Brewers delivers to home plate during the seventh inning against the Colorado Rockies at Coors Field on October 2, 2016 in Denver, Colorado. (Photo by Justin Edmonds/Getty Images)
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The Braves have signed reliever Blaine Boyer to a minor league contract with an invitation to spring training, MLB.com’s Mark Bowman reports. Bowman adds that the right-hander has a “good chance” to make the Braves’ bullpen out of spring training.

Boyer, 35, spent the past season with the Brewers, finishing with a 3.95 ERA and a 26/17 K/BB ratio in 66 innings.

Boyer, of course, started his professional baseball career with the Braves as they selected him in the third round of the 2000 draft. Since the Braves traded him in 2009, Boyer has pitched for the Cardinals, Diamondbacks, Mets, Padres, and Twins along with the Brewers.

Report: Rays nearing a deal with Shawn Tolleson

ST. LOUIS, MO - JUNE 18: Reliever Shawn Tolleson #37 of the Texas Rangers pitches against the St. Louis Cardinals in the eighth inning at Busch Stadium on June 18, 2016 in St. Louis, Missouri.  (Photo by Dilip Vishwanat/Getty Images)
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Update (6:48 PM EST): Topkin reports the contract will be of the major league variety.

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Marc Topkin of the Tampa Bay Times reports that the Rays and free agent reliever Shawn Tolleson are close to finalizing a contract.

Tolleson, who turns 29 years old on Thursday, had an ugly 2016 season, finishing with a 7.68 ERA and a 29/10 K/BB ratio in 36 1/3 innings. He was one of the Rangers’ best relievers in the two seasons prior to that, however, which included saving 35 games in 2015.