The Arizona Diamondbacks' deal for Zack Greinke caught most in the baseball world by surprise, most notably the Los Angeles Dodgers, who suddenly have more competition in the National League West.

The Dodgers responded Sunday by reportedly agreeing to a deal with free-agent right-hander Hisashi Iwakuma, but was that just a warm-up act as the winter meetings officially begin in Nashville?

According to ESPN’s Jayson Stark, the Miami Marlins were talking to the Dodgers -- and at least two other teams -- about potential blockbuster deals involving Jose Fernandez. Stark points out the Dodgers might be willing to include their top pitching prospect, Julio Urias, given they would have Fernandez under club control for three more years.

Meanwhile, ESPN’s Buster Olney reports there is “growing confidence” the Dodgers will be able to complete a trade for Cincinnati All-Star closer Aroldis Chapman. Fox Sports earlier reported that the sides were progressing on a deal involving Chapman, who is being actively shopped by the Reds.

While the Dodgers already have an established closer in Kenley Jansen, the rest of the bullpen was shaky and the addition of Chapman would give them a formidable 1-2 punch, assuming one of them would be content with a setup role. Los Angeles ranked just 19th in bullpen ERA (3.87).

It remains to be seen if any deal for Chapman would preclude a trade for Fernandez or vice versa, given both the Reds and Marlins would be asking for elite prospects. At the very least, the Dodgers are not taking the loss of Greinke lying down.

Here is more from the rumor mill in Nashville:

• Drew Storen: A change of scenery might work out well for Storen, who had a 6.75 ERA following the Nats’ acquisition of Jonathan Papelbon. The Nationals apparently will try to make that happen and are trying to deal the reliever, reports MLB.com’s Bill Ladson. The Astros are interested, but more as a fall back option, tweets Jerry Crasnick.

• Chris Davis: The string of mega deals leading up to the winter meetings probably means that the Orioles are out of the running to re-sign the slugger, says Peter Schmuck of the Baltimore Sun. The going rate for Davis would likely be in the $150 million range, which would be more than double the biggest free-agent contract handed out by the club. Miguel Tejada got a $72 million deal in 2003.

• Tampa Bay Rays: Baseball operations president Matt Silverman arrives in Nashville knowing his club has a commodity every team desperately wants — quality, cost-efficient pitching. While the Rays already have dealt Nathan Karns, they would be “perfectly happy” to keep Jake McGee and Brad Boxberger, two relievers who have drawn plenty of interest, says Marc Topkin of the Tampa Bay Times. Topkin tweeted early Monday that the Rays were talking with the Cubs about a deal for Javier Baez.

• Jonathon Niese: The Mets are willing to trade the left-hander if the right deal comes along, reports Adam Rubin of ESPN New York. At this stage, Niese is penciled as the Mets’ fifth starter until Zack Wheeler returns from Tommy John surgery in June or July.

• Hanley Ramirez: A source tells Jason Mastrodonato of the Boston Herald that the Red Sox will not trade Ramirez, and the expectation is he will be the team’s starting first baseman.

• Alex Gordon: While waiting for the outfield market to develop, the Kansas City Royals have not given up on the idea of re-signing Gordon, tweets Joel Sherman of the New York Post.

• Seattle Mariners: The Mariners need a first baseman after trading away Mark Trumbo and Logan Morrison. Bob Dutton of the News Tribune says they are likely to be interested in Pedro Alvarez and Chris Carter, who were non-tendered by the Pirates and Astros, respectively.

• Scott Kazmir: After agreeing to a deal with Ryan Madson on Sunday, the Oakland Athletics are interested in bringing back Kazmir, who was traded to Houston in July, reports Susan Slusser of the San Francisco Chronicle. The 31-year-old is likely looking for a deal worth $17-18 million per season, which might be too much for Oakland’s taste.

• Tony Sipp: The Houston Astros would like to bring back Sipp, but his price may have gone up after Madson landed a three-year, $22 million deal with Oakland.

• C.J. Wilson: The Los Angeles Angels might be willing to trade the left-hander, who is expected to be fully recovered from elbow surgery at the start of spring training, suggests Jeff Fletcher of the Orange County Register. Wilson will make $20 million this season before reaching free agency, and the Halos would like to get another club to absorb at least half of that deal.

• Rajai Davis: The San Francisco Giants are looking for a left fielder but may not be willing to pursue high-end free agents such as Yoenis Cespedes or Justin Upton, especially since they committed $90 million to Jeff Samardzija. John Shea of the San Francisco Chronicle suggests Davis, who has a career slash line of .269/.316/.387, as a cheaper alternative.

• Jean Segura: With prospect Orlando Arcia prepared to take over as shortstop in the not-too-distant future, it makes sense for the Milwaukee Brewers to shop Segura, says Tom Haudricourt of the Milwaukee Journal-Sentinel. If Segura is traded this offseason, the Brewers have prospect Yadiel Rivera and newly acquired Jonathan Villar as short-term options.

• Adam Lind: The veteran first baseman is not in the Brewers’ long-term plans and is likely to be traded this week, Haudricourt reports.