While the Twins have been seen as the favorite to land Pavano, the addition of Greinke to the Brewers may have only increased that possibility, as FOXSports.com suggested.
Milwaukee had reportedly been in contention for Pavano's services, but with their No. 1 starter taken care of, the Brewers are likely out of the fray.
The Nationals and Rangers, who had been working hard to land Greinke, haven't seriously pursued the 34-year-old starter, sources told Fox Sports.com.
Here's a look at other odds and ends from around the league:
Greinke's disappearance from the trade market could have boosted interest in Marlins right-hander Ricky Nolasco, who has two more seasons remaining in arbitration, but Florida put the kibosh on that. Nolasco is close to signing a three-year extension with Florida worth $27 million, MLB.com's Joe Frisaro reported Sunday night. The deal, which runs through 2013, is pending a physical.
Guillermo Mota is returning to the Giants for a second season, the club confirmed on Sunday night. Mota, who won a World Series ring with San Francisco in 2010, agreed to a Minor League deal, but will have an invite to big league Spring Training.
The Blue Jays have signed catcher Ryan Budde to a Minor League deal, Jerry Crasnick of ESPN.com tweeted on Sunday. Budde, who has seen limited Major League action with the Angels over the last several years, owns a career average of .212.
Right-hander Anthony Lerew has signed a one-year deal with the Softbank Hawks of Japan's Pacific League according to the NPB tracker. Lerew struggled in six starts with the Royals last season.
The Yankees have agreed to a Minor League deal with right-hander Luis Vizcaino and invited him to big league camp, the Star-Ledger reported. Vizcaino, 36, has been out of pro ball since 2009, but pitched well this offseason in the Dominican Winter League.
ESPN Deportes reported that the Braves have signed 24-year-old southpaw Yohan Flande and invited him to Spring Training. Flande went 10-8 with a 4.38 ERA in 27 starts at Double-A Reading for the Phillies last season.
The Nationals had reached a deal with the Royals for Greinke, before the right-hander exercised his no-trade clause to veto the trade, a source confirmed to MLB.com. No reason was given for Greinke's decision, but the ace had previously expressed a desire to play for a contending team.