Rumor roundup: Giants targeting top talent

There have already been two trades since the General Managers Meetings concluded Thursday in Boca Raton, Fla., and more moves are expected in the coming days as teams look to improve their rosters this offseason.

Here's a look at some of the top Hot Stove stories from Saturday circulating around the Majors:

• Hot Stove Tracker

Giants targeting big names
The Giants are rumored to be in play for two of the top free-agent starting pitchers in David Price and Zack Greinke, according to the New York Post.

San Francisco has room on its payroll to add an expensive free agent, and that same report links the Giants to all of the top-tier left fielders on the open market, including Yoenis Cespedes, Alex Gordon and Justin Upton.

Video: Heyman on the market for Heyward, Cespedes, Price

"I think we recognize that there's a need to deepen our rotation, improve our rotation," Giants general manager Bobby Evans said at the GM Meetings. "There's also a need to keep an open mind about other areas we could improve, whether that's looking at our left-field situations. or at ways to give us some depth."

D-backs looking into Gallardo
The D-backs traded starting pitcher Jeremy Hellickson to the Phillies on Saturday, freeing up some payroll and also opening a spot in their rotation.

D-backs trade Hellickson to Phillies

Right-hander Yovani Gallardo is reportedly on the D-backs' list of free-agent targets, according to ESPN.

Video: Yovani Gallardo joins MLB Tonight after Game 1

Gallardo rejected the Rangers' $15.8 million qualifying offer Friday, meaning any club that signs the pitcher would lose a Draft pick. But the D-backs sound open to signing a pitcher who has Draft-pick compensation tied to him.

"If it's going to have an immediate impact on us as an organization and get us closer to the goal that we're trying to accomplish, which is to get into the postseason, we have to look at it," general manager Dave Stewart said at the GM Meetings.

Arizona has the 13th pick in the 2016 Draft.

Reds dangling Chapman
It's no secret the Reds are looking to deal All-Star closer Aroldis Chapman this winter, and the club expects to have a number of suitors to choose from, writes MLB.com's Mark Sheldon.

If he is dealt, Chapman wouldn't be the first big-name closer to be traded this offseason. The Red Sox acquired Craig Kimbrel from the Padres on Friday night for four prospects.

Red Sox acquire Kimbrel from Padres

The Reds, though, believe there is still a strong trade market for a talented closer like Chapman.

"We feel that he's the best closer out there, so [we] hope good stuff can happen," Reds general manager Dick Williams told MLB.com on Saturday. "We've had lots of productive conversations."

Video: Castrovince analyzes the Reds' offseason needs

There are a number of teams in the market for a new closer, including the Astros, D-backs, Marlins and Tigers.