A baseball source told ESPNBoston.com's Gordon Edes that Beltran's name has been discussed by members of the Red Sox front office. However, the Red Sox also are looking at cheaper right-handed hitting platoon options to play with either Josh Reddick or Ryan Kalish, the source said.
John Heyman of Sports Illustrated reported via Twitter on Tuesday that the Red Sox are interested in Beltran.
Beltran, who's 13-year MLB career also includes stints with the Kansas City Royals and Houston Astros, hit .300 with 22 home runs and 84 RBIs in 142 games last season.
The Red Sox went 7-20 in September in 2011 and were eliminated from playoff contention on the final day of the regular season when they lost to the Baltimore Orioles, and the Tampa Bay Rays beat the New York Yankees.
Two days later, Terry Francona left after eight years as manager. General manager Theo Epstein later became president of baseball operations of the Chicago Cubs.
Information from The Associated Press was used in this report.