Burke, 31, went 0-3 with a 5.68 ERA in 32 relief appearances for the Mets last season. His previous Major League experience consisted of 48 games for the Padres in 2009 (3-3, 4.14 ERA).
Thomas Harding is a reporter for MLB.com. Follow him on Twitter @harding_at_mlb. This story was not subject to the approval of Major League Baseball or its clubs.