The Dodgers have given non-roster invitations to lefties Tom Martin and Mike Myers in hopes of solidifying their bullpen. Both have had plenty of major league experience.
Martin is a former Dodger who appeared with the NL Champion Colorado Rockies last year. He appeared in only 29 games, posting a 4.91 ERA before being released in July. For his career, he has a 4.92 ERA with 224 K's in 316.7 IP.
Myers is a side-winding lefty who has plenty of experience playing for Joe Torre. He pitched all of 2006 and part of 2007 with the Yankees, signing with the White Sox to end last season after being released in August. While he is counted on to pitch against top lefty sluggers, he has had mixed success. He had a 3.23 ERA and 1.27 WHIP in '06, and had decent success with the Yanks in '07, posting a 2.66 ERA and 1.32 WHIP. He absolutely bombed in his 17 games with the White Sox, pitching a horrendous 11.20 ERA and 2.04 WHIP. Yikes!
Both will look to find a spot in the 'pen next to Joe Beimel, and I would think at least one of them would make it. The early favorite would probably be Myers, though Torre did release him just last year, so nothing is etched in stone. The big lefty sluggers in the NL West are Todd Helton, Brad Hawpe, and Adrian Gonzalez. Good players, but nearly as bad as facing the power in the NL East like Myers had to last year.
Even if one or both are signed, don't exactly hold your breath that it will last all season. They may only be good for a short run until they start getting pounded again. In the more friendly pitchers park of Dodger Stadium, maybe they can have more success.