Schilling threw an estimated 40 pitches from 60 feet on Saturday, and he reported there was no discomfort in his right shoulder.
"It'll be awhile before we get a real good read about things," Schilling said. "We're just kind of taking it as it comes. The first week felt great."
Schilling said he'll throw again on Monday.
The veteran right-hander first experienced shoulder pain in January. He received a cortisone shot in February. Schilling has been undergoing a vigorous strength and conditioning regimen and will gradually increase distance and volume in his throwing program.
Robert Falkoff is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.