Bradley was traded from the Rays to the Twins on Thursday in exchange for Griffin Jax, Dan Hayes of The Athletic reports.

The Twins traded all their high-leverage relievers and targeted controllable starting pitching in the form of Bradley, who had been working in the Rays' Triple-A rotation. Bradley, 24, had a 4.61 ERA, 1.28 WHIP and 95:44 K:BB in 111.1 innings with the big club this season before being demoted just after the All-Star break.

The Red Sox acquired May from the Dodgers on Thursday in exchange for outfielders James Tibbs and Zach Ehrhard, Jeff Passan of ESPN.com reports.

After logging a 4.85 ERA and 1.35 WHIP through 104 innings in his first 19 appearances with Los Angeles this season after missing all of 2024 while recovering from flexor tendon and UCL revision surgery as well as a separate surgery to address an esophageal tear, May will be sent across the country to join the Red Sox. Dodgers manager Dave Roberts said Wednesday that the team planned to move May into the bullpen, though the 27-year-old righty is likely to work as a starter with the Red Sox, who have seen the back end of their rotation get hit hard by injuries.

The Royals acquired Falter from the Pirates on Thursday in exchange for Evan Sisk and Callan Moss, Alex Stumpf of MLB.com reports.

Mitch Keller was the more popular name in trade rumors among Pirates starting pitchers, but Falter is instead the first, and perhaps only, rotation piece to be on the move. The left-hander has been a quality back-end starter this season with a 3.73 ERA, 1.18 WHIP and 70:39 K:BB across 113.1 innings.

The Padres acquired Cortes (elbow), infielder Jorge Quintana and cash from the Brewers on Thursday in exchange for outfielder Brandon Lockridge, Ken Rosenthal of The Athletic reports.

Cortes had been on the Brewers' 60-day injured list due to a left elbow flexor strain, but he should be ready to rejoin the big leagues after completing a four-start rehab assignment and building up to 5.2 innings and 93 pitches in his most recent outing for Triple-A Nashville on July 24. However, with the Milwaukee rotation fully stocked at the big-league level and the team having viable starting arms on hand at the Triple-A level in right-handers Chad Patrick, Logan Henderson and Tobias Myers, Cortes was deemed an expendable piece. He'll have a better chance at earning a full-time rotation spot in San Diego, where he could step in to replace right-hander Randy Vasquez as the team's No. 5 starter. Both Vasquez and Cortes could be in danger of moving to the bullpen when Michael King (shoulder) returns from the injured list, however.

The Diamondbacks acquired Bratt, left-hander Kohl Drake and right-hander David Hagaman from the Rangers on Thursday exchange for right-hander Merrill Kelly, Nick Piecoro of The Arizona Republic reports.

A 22-year-old lefty with excellent control, Bratt has a 3.18 ERA, 1.18 WHIP and 106:16 K:BB in 90.2 innings at Double-A Frisco this season. His 4.3 percent walk rate is the third-best mark among qualified Double-A pitchers, and while his fastball typically sits in the lower 90s, he has a full repertoire and could make the big leagues as a No. 3 or No. 4 starter.

The Diamondbacks acquired Drake, left-hander Mitch Bratt and right-hander David Hagaman from the Rangers on Thursday in exchange for right-hander Merrill Kelly, Nick Piecoro of The Arizona Republic reports.

Drake and Bratt are both high-quality pitching prospects, with Drake recently getting promoted to Triple-A Round Rock after logging a 2.44 ERA, 0.98 WHIP and 70 strikeouts in 55.1 innings at Double-A Frisco. He has predictably been less successful thus far in the Pacific Coast League, where he has a 5.19 ERA, 1.50 WHIP and 17 strikeouts in 17.1 innings through four appearances. Drake could be a factor in Arizona's rotation in 2026.

The Dodgers traded Swan along with Sean Paul Linan to the Nationals on Thursday in exchange for Alex Call, Jon Morosi of MLB Network.

Swan has spent the entire season with High-A Great Lakes, where he put up a 4.43 ERA with a 77:46 K:BB in 69.0 innings across 16 games. While not great, the righty has been able to lower his ERA, which was 5.16 when he pitched in Single-A Rancho Cucamonga in 2024.

The Rangers acquired Kelly from the Diamondbacks on Thursday in exchange for left-handers Kohl Drake and Mitch Bratt and right-hander David Hagaman, Jeff Passan of ESPN.com reports.

Kelly will step right into the rotation behind Jacob deGrom and Nathan Eovaldi, although it's unclear when he'll make his Rangers debut. The 36-year-old Kelly -- who is set to become a free agent this winter -- delivered a 3.22 ERA, 1.06 WHIP and 121 strikeouts in 128.2 innings with Arizona this season.

Bateman was traded from the Padres to the Orioles on Thursday as part of the return for Ryan O'Hearn and Ramon Laureano, Dennis Lin of The Athletic reports. The Orioles also received Brandon Butterworth, Victor Figueroa, Cobb Hightower, Tyson Neighbors and Tanner Smith in return.

A 6-foot-8, 19-year-old left-handed pitcher, Bateman has a high ceiling but is years away from the majors. The Padres drafted him 52nd overall in the 2024 First-Year Player Draft and gave him a $2.5 million bonus. Bateman has a 4.08 ERA, 1.32 WHIP and 75:25 K:BB in 68.1 innings at Single-A this season.

The Marlins acquired Gusto, infielder Chase Jaworsky and outfield Esmil Valencia from the Astros on Thursday in exchange for outfielder Jesus Sanchez, Mark Feinsand of MLB.com reports.

After tossing six innings of one-run ball and picking up his seventh win of the season in Wednesday's victory over the Nationals, Gusto will now provide the Marlins' pitching staff with an arm capable of being used in the rotation and out of the bullpen. The 26-year-old righty owns a rather uninspiring 4.92 ERA on the season, however, so he would likely work in the back end of the Miami rotation or serve as a low-leverage reliever.