"I was out of rhythm a little bit, but it was pretty good," said Peralta, who described his earlier setback as, "normal."
"Early in camp you're throwing a lot and you feel a little tired," he said. "Today, it feels great. It's a long Spring Training and my arm feels good."
Peralta is one of three young starters vying for a spot in the Brewers' rotation. Another is right-hander Mike Fiers, who surrendered an RBI single to Chicago's Gordon Beckham in the third inning but was otherwise sharp, allowing one run on three hits in three innings, with no walks and three strikeouts.
A pair of White Sox prospects also stood out.
Snodgress was burned by one pitch to Brewers designated hitter Davis -- whose two-run homer in the second inning followed a Caleb Gindl walk -- but he allowed only one other Brewers hit in three effective innings. Snodgress is MLB.com's sixth-best White Sox prospect.
The Brewers threatened against reliever Zach Stewart in the fourth inning, but the rally fizzled when right fielder Keenyn Walker -- No. 8 on MLB.com's list -- fielded a single and made a perfect throw home to snag Milwaukee's Jonathan Lucroy to end the inning.
"I hung that curveball and made a mistake there and it's something I'm going to learn from and hopefully not make the same mistake again," Snodgress said. "Other than that, I felt like things were very good."
Johnny Hellweg, the Brewers' No. 4 prospect, pitched two hitless innings with a strikeout, and the No. 3 man on the list, Taylor Jungmann, followed, allowing a run on Tyler Saladino's RBI single in the eighth.
Josh Bell's solo homer in the ninth capped the scoring.
Up next: The White Sox travel to Goodyear, Ariz., on Friday for their first contest against their revamped American League Central-rival Cleveland at 2:05 p.m. CT. Left-hander Chris Sale is scheduled to make his Cactus League debut after a dominant first season in the rotation in 2012.
Adam McCalvy is a reporter for MLB.com. Read his blog, Brew Beat, and follow him on Twitter at @AdamMcCalvy. This story was not subject to the approval of Major League Baseball or its clubs.