No other players were involved, as the Sox received cash from the Brewers and sent cash to the Athletics in the transactions.
Chicago fans already are familiar with Thompson, 27, who was drafted by the Sox in the second round of the 2009 draft and made his debut with the team in 2015.
Thompson hit .295 in 44 games with the 2015 Sox before being shipped to the Los Angeles Dodgers the following offseason as part of a three-team trade that brought third baseman Todd Frazier to the South Side.
The move initially was working out well for the Dodgers, as Thompson hit .290 over his first 110 at-bats as a fourth outfielder in Los Angeles, but then back trouble sidelined him and caused him to slump to a .225 average by year's end. Thompson hit only .122 in 27 games with the Dodgers in 2017. Los Angeles designated him for assignment at the end of March.
Thompson appeared in only three games with the A's, going 1 for 7 at the plate. He was designated for assignment earlier this week.
Saladino's story is not much different than Thompson's. The 28-year-old was a seventh-round draft pick of the Sox in 2010, made his major league debut in 2015 and had a respectable season in 2016, when he slashed .282/.315/.409 with eight home runs and 38 RBIs in 93 games.
But, back trouble ruined Saladino's 2017 season. He slumped to a .178/.254/.229 slash line in 78 games, failed to hit a home run and totaled only 10 RBIs.
He managed to make the Sox's roster coming out of camp this season and was 2 for 8 in six games so far.
Why would the Sox make these moves?
We've touched on it in past blogs. The Sox only had two true outfielders on the 25-man roster -- Avisail Garcia and Adam Engel. They've been plugging left field with a platoon of converted infielders in Nick Delmonico and Leury Garcia, and it's been ugly defensively.
Thompson probably will not hit much, but he can play all three outfield spots, and he serves as an insurance policy for center field if Engel (.179/.283/.205) continues to struggle at the plate. Also, Triple-A outfielder Ryan Cordell recently broke his clavicle and is expected to miss at least eight weeks. He was the outfielder in the system considered closest to big-league ready, and his injury left the Sox perilously thin in the outfield both at the major league level and in the high minors.
Enter Thompson to fill that void.
Saladino's best asset is his defensive versatility. He can competently play any position on the infield, but the Sox had a glut of utility guys, with Yolmer Sanchez and Leury Garcia also on the 25-man roster. Saladino was redundant and expendable.
How will Saladino help the Brewers? For now, he won't, because Milwaukee has optioned him to Triple-A Colorado Springs.
And, in keeping with tradition, since Thompson has returned for a second tour of duty on the South Side, we would be remiss if we did not welcome him back: