The Los Angeles Dodgers met with free-agent right-hander Zack Greinke on Thursday, whom the team is "very serious" about signing, reports Tim Brown of Yahoo Sports:

The Dodgers met Thursday with Zack Greinke. They're very serious about signing him, and this looks like the start of it.

— Tim Brown (@TBrownYahoo) November 30, 2012

The Dodgers already have a full starting rotation on the roster -- and also have exclusive negotiating rights with Japanese left-hander Ryu Hyun-jin -- but still see Greinke as a fit for their club. L.A. is reportedly "ready to outbid" all of Greinke's other suitors -- including the Los Angeles Angels, Texas Rangers and Washington Nationals -- which sources believe makes Chavez Ravine the most likely landing spot for the 28-year-old right-hander.

Greinke is still believed to be the Angels' top priority this winter, and have the advantage of having an established relationship with the right-hander, but the club may not be able to stick with the Dodgers and their new $6 billion in television money.

The Dodgers could look to trade veteran starters Chris Capuano or Aaron Harang if they do indeed sign Greinke.

Be sure to keep up with Greinke and all the other top free agents by checking in on our Top 10 Free Agents hub, which provides you with rumor streams for all the big names on the market.