Grabow, 33, joins the mix of journeymen in competition for the second left-handed reliever job created when the Dodgers non-tendered former All-Star Hong-Chih Kuo. Scott Elbert is the main lefty in the bullpen.
Grabow, a Southern California native, was 3-1 with a 4.76 ERA for the Cubs in 2011. His best year was 2008, when he had a 2.84 ERA in 74 appearances for the Pirates, and he was traded to the Cubs during the 2009 season with Tom Gorzelanny.
A workhorse from 2004-08, he encountered knee and shoulder issues the past two years.
Other left-handed relief non-roster invitees are Alberto Castillo, Wil Ledezma, Scott Rice and Matt Chico.
Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.