In a series of trade deadline deals, the Los Angeles Dodgers shipped starting pitcher Dustin May to the Boston Red Sox while also receiving some outfield and bullpen help on Thursday.

Compared with the flurry of blockbuster deals that reverberated around them in the National League, the Dodgers' moves were mild, tame and certainly cost conscientious.

The Los Angeles Dodgers are finalizing a trade for Minnesota Twins reliever Brock Stewart, ESPN's Jeff Passan reported Thursday. The Dodgers are sending outfielder James Outman back to the Twins as part of the deal, per Alden González of ESPN.