The Rangers and Padres are the two latest teams to show interest in Upton, according to MLB.com's Mark Bowman.
The Mariners may also come into the picture, according to the Atlanta Journal-Constitution. However, Seattle is also interested in free agent Melky Cabrera and likely wouldn't give up a "top young pitcher" since Upton is only under contract for one season.
After signing Nick Markakis to a four-year deal, the Braves certainly have the roster flexibility to move Upton, which would free up some money as Upton is owed $14.5 million this season.
The Tribe has made Nick Swisher available, but he has yet to generate any significant interest, according to FOX Sports.
After trading for Brandon Moss on Monday morning, the Indians appear to be looking for ways to trade Swisher, which won't be easy as he is owed $30 million over the next two seasons and is coming off surgery on both his knees.
Moss played both first base and outfield for the A's last season, so if the Indians are able to trade Swisher, Moss could take over one of the corner outfield positions. If Swisher stays, Moss could play first base, as teams have reached out to the Indians regarding first baseman Carlos Santana, according to FOX Sports.
However, the report also said "no deal close."
Santana, 28, hit 27 home runs last season and is under contract through 2017. It seems the Indians would be much more likely -- and willing -- to trade Swisher rather than Santana, but if there is an unbelievable offer on the table, anything can happen.
Angels lefty C.J. Wilson is available on the trade market according to CBS Sports. Though sources told MLB.com that Wilson has generated some interest, a trade may be unlikely for a couple of reasons.
Wilson is coming off his worst season as a starting pitcher, and he is owed $38 million over the next two seasons. If the Angels do trade Wilson, they would likely have to pick up part of that salary, which could give them the flexibility to sign a free-agent pitcher to a long term deal.
On the same day the D-backs officially signed Cuban outfielder Yasmany Tomas, rumors are starting to circulate about Mark Trumbo.
According to Yahoo! Sports, Trumbo is "definitely in play" and a three-team trade for Trumbo was discussed and fell through.
Although Tomas is listed as an outfielder, the D-backs are expected to give him a shot at third base, and general manager Dave Stewart insists he has no interest in trading Trumbo. If Tomas doesn't work out at third base and returns to the outfield, Arizona's crowded outfield may have too many bodies, prompting Trumbo trade.
It's unclear which teams have talked to Arizona about Trumbo, but multiple clubs are looking to add a power bat to their lineup, and Trumbo fits that bill.
Samardzija may be headed back to Chicago
The White Sox are reportedly in "serious talks" to acquire Jeff Samardzija from Oakland, which would bring the right-hander back to the Windy City after he and Jason Hammel were both traded from the Cubs to the A's on July 5.
Speaking of Hammel, the free agent is also reportedly "close to" signing a deal to also come back to the North Side of Chicago. CBS Sports first reported Monday that the Cubs and Hammel were nearing a deal, and MLB.com's Carrie Muskat has confirmed through a source that they've reached a two-year, $18 million deal, pending a physical.
USA Today reported the Samardzija news, calling the White Sox the "frontrunner" to land the righty. Oakland would likely be interested in receiving Tim Anderson -- Chicago's top position player prospect who is considered to be the team's shortstop of the future -- in return. The A's sent top shortstop prospect Addison Russell to the Cubs in the July deal.
Multiple teams interested in Kang
Oakland's search for a shortstop may be wider than the trade market. While it could be receiving a young piece in return for Samardzija, CBS Sports also reported Monday that it's one of a handful of teams interested in Korean shortstop Jung-Ho Kang, who is likely to be posted next week.
CBS Sports also listed the Mets and Giants among the teams interested in the 27-year-old.
Kang put up huge numbers for the Nexen Heroes of the Korean Baseball Organization last season -- 39 homers, 115 RBIs, a .354 average and 1.189 OPS in 116 games -- but there are some questions as to whether his game will translate to the Majors.
Many teams view Kang as a second baseman, which would explain the Giants' interest (with the possibility of moving Joe Panik to third base to replace Pablo Sandoval). The A's are in dire need of a shortstop, while the Mets have been exploring other options behind Wilmer Flores.
Padres hot on Kemp
It's no secret that the Dodgers have an abundance of outfielders, and Matt Kemp's name has been floated as a possible trade piece.
For now, USA Today reported that the Padres are the "most likely destination" for the former MVP candidate after missing out on a couple of free agents.
San Diego is always on the lookout for offensive improvements, and catcher Yasmani Grandal would likely head to Los Angeles in a deal. While the Padres need outfield/offensive help and have a logjam at catcher, the Dodgers have a bounty of riches in the outfield and are in need of a backstop.
USA Today said the Mariners, Rangers and Orioles have also shown interest in Kemp.
Joey Nowak is a reporter for MLB.com. Follow him on Twitter at @joeynowak. William Boor is a reporter for MLB.com. Follow him on Twitter at @wboor. This story was not subject to the approval of Major League Baseball or its clubs.