Had Torres remained with the organization, he would have needed to make the Opening Day roster in order to earn the $1.05 million arbitration settlement to which he had agreed. Otherwise, he might have earned far less with Triple-A Las Vegas.
Asian clubs are among those expressing interest.
Torres, 33, lost his 40-man roster spot 10 days ago when the Mets officially signed left-handed reliever Antonio Bastardo.
Torres originally was designated for assignment. He ended up on waivers a week later, after the Mets failed to find a trading partner.
Torres went 5-6 with a 4.68 ERA in 59 relief appearances last season with the Mets. He had a solid 3.06 ERA in 2014, but also logged 97 innings that season while nearly exclusively working out of the bullpen. That heavy workload might have adversely affected his performance in 2015.