The workout included taking roughly 50 swings in the batting cage and throwing the ball from about 150 feet.
"It was an extremely positive day, a few days ago I didn't know if I'd be able to do all that," Young said. "However my rehab is going, it affects my mood for that day, and today I'm in a great mood."
Young will attempt to go through the same routine on Tuesday, and he said he hopes to be in rehab games by the end of the week.
"We're getting so close, I just don't want to have any setbacks, I want to be smart about what I'm doing," he said. "Be playing some games by the end of the week is my goal, but that's not my job."
The former All-Star admitted he felt some tightness in the shoulder but that he felt like he wasn't guarding it as much as he had been.
D-backs manager Kirk Gibson watched Young's workout and was encouraged with the progress but is still cautious about moving too fast.
"He's come a long way, but he's got a ways to go," Gibson said. "We want to make sure he's ready to come back and play at full speed. He still isn't 100 percent comfortable with it yet, certainly not throwing."
While the club was on the road for the last 11 days, Young rehabbed every morning then went home to watch the D-backs on television.
"Sitting on your couch watching the games is awkward for me because I've never done it before and it's not something I want to get used to doing," he said. "I'm sure my teammates missed me. I made sure to tell everybody I missed them."
He also said he became a hockey fan as the Coyotes progress in the Stanley Cup Playoffs.
Young was batting .410 with five homers and 13 RBIs before the injury.
"No time is a good time to get hurt," he said. "If I was struggling at the plate and I got hurt, then all you can do is sit at home and think about what else you have to change. I don't think anytime is a good time."