According to the Boston Herald, David Ortiz is drawing "serious interest" from at least one team other than the Red Sox, and has received "more than one offer" on the free-agent market.
"He has lots of options," an industry source told the Herald's Michael Silverman.
Ortiz, 36, has been Boston's primary designated hitter since 2003. He hit .309.398.554 with 29 home runs last season.
Ortiz has had strong offensive numbers with very limited defensive experience, so it is most likely that he will sign with one of the 14 American League clubs that can use a designated hitter.
Because the Red Sox offered him arbitration before the deadline last week, they will receive two compensatory draft picks if Ortiz signs elsewhere.
If he accepts arbitration, Ortiz would play for Boston on a one-year deal with a likely raise from his 12.5 million salary in 2011.