However, Newsday reporter David Lennon tweeted that the Mets do not currently have plans to meet with the right-hander.
The 36-year-old Arroyo went 14-12 with a 3.79 ERA last season with the Cincinnati Reds.
Arroyo, a 14-year veteran, has logged the third-most innings in the Majors since 2005 with 1,895 2/3 innings. In his career with the Pirates, Red Sox and Reds, Arroyo is 138-127 with a 4.19 ERA.
Quinn Roberts is a reporter for MLB.com This story was not subject to the approval of Major League Baseball or its clubs.