Cueto gave up one run on four hits, walked none and struck out four.
The Reds placed Cueto on the 15-day disabled list on April 15 with a strained right lat. He was set to begin a rehab assignment last week when he felt soreness in his right oblique. He rested for a few more days before he resumed throwing.
Cueto is slated to pitch again for Dayton on Tuesday.
"I think I need another outing, and that's what we'll do," Cueto said. "And after that, God willing, I will be activated."
Mark Sheldon is a reporter for MLB.com. Read his blog, Mark My Word, and follow him on Twitter @m_sheldon. This story was not subject to the approval of Major League Baseball or its clubs.