Bregman is the most prominent free-agent bat left on the market and is coming off a season that saw him hit .260 with 26 home runs. The Red Sox would presumably move Rafael Devers to first if they got him, though it is unclear how aggressive they will be, particularly after spending a good amount of money to sign Buehler in the first place.

"I think this team is ready to be able to compete in the division and in the whole league,” said Buehler, a free agent righthander who signed a one-year, $21.05 million deal with the Red Sox.