6:08pm: Dodgers GM Ned Colletti tells Dylan Hernandez of the LA Times that no one has instructed him not to offer multi-year deals. Still, this doesn't mean the team will consider them.
2:46pm: The Dodgers have talked to the agents for Randy Wolf, Vicente Padilla, and Joel Pineiro, according to MLB.com's Ken Gurnick, but the team won't discuss multiyear deals. Wolf and Pineiro will almost certainly get multiyear contracts this winter, Padilla maybe not. The Dodgers already passed up one chance to get Wolf on a one-year deal (or at least two draft picks) when they decided not to offer him arbitration.
Gurnick says the Dodgers intend to wait out the market and find pitchers who will sign one-year deals later in the offseason. It worked with Wolf last time around.
On a related note, ESPN's Buster Olney says the Dodgers are "essentially in lockdown financially."