The last time Madson threw from a mound -- in a simulated game on April 19 -- he felt tightness immediately after and was shut down for two weeks, during which he went to extended spring training in Arizona and had scar tissue removed.
Following Saturday's session, the results were different, as the Angels already have a tentative date for the right-hander's next bullpen.
"I'm sure he'll probably get back on the mound on Tuesday," Scioscia said.
William Boor is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.