Martin, a familiar face to the Dodgers and their fans, made 80 appearances in 2003 and 47 in 2004 in a Los Angeles uniform. He was 1-2 with a 3.53 ERA in '03 and 0-1 with a 4.13 ERA the following season.
An 11-year MLB veteran with seven clubs, Martin, 38, appeared in 26 games for the Rockies in 2007. He had a 4.91 ERA and did not figure in a decision.
A native of Charleston, S.C., the 6-foot-1, 185-pound Martin has pitched in 376 Major League games with an 11-9 record and 4.92 ERA.
Myers, a 13-year veteran, hopes to make the Dodgers the 10th Major League club he has represented. A workhorse in 2007, making 72 combined appearances with the Yankees and White Sox, Myers is no stranger to new Dodgers manager Joe Torre, who dialed his number 55 times in the Bronx last summer.
A 6-foot-3, 200-pound native of Arlington Heights, Ill., Myers was 3-0 with a 2.66 ERA with the Yankees and 1-0 with a 11.20 ERA in Chicago. Combined he was 4-0 with a 4.80 ERA.
In 883 Major League appearances, Myers -- who made his debut in 1995 -- is 25-24 with a 4.29 ERA.
Martin and Myers will be attempting to nail down spots in a bullpen that included durable southpaw Joe Beimel, who made 83 appearances last season.
Lyle Spencer is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.