A day after general manager Brian Cashman and Joe Girardi's agent had lunch at an Italian restaurant in the Meatpacking District, the sides talked again Thursday, continuing to discuss the parameters of a deal that would keep Girardi as manager of the Yankees.

The club's managing general partner, Hal Steinbrenner, ultimately will be the one giving his OK to a deal, and he has been kept in the loop.

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Girardi's contract expires at midnight Oct. 31. Neither side has commented publicly but Girardi, who was hired in October 2007 and signed a three-year deal for $9 million after the 2010 season, is likely to end up with a contract in the neighborhood of the Angels' Mike Scioscia ($5 million per season) and the Tigers' Jim Leyland ($4 million).

The Cubs, who fired manager Dale Sveum on Monday, have an interest in Girardi. The Nationals, also searching for a manager, might be interested, too. But the expectation all along has been that Girardi will remain with the Yankees.