"Today we threw about 70 feet," Moore said. "I felt like it was coming out pretty good. We probably threw just north of 40 throws maybe.
"I played catch with David [Price] and he was throwing the ball pretty firm to me. So it kind of came natural just to play catch and let it go. And we were all good. So kind of trying to not find a way to make it hurt. Just trying to keep it where it's at right now, which is progressing every day."
Moore said he will play catch again Wednesday.
"We're still going to try and take it easy," Moore said. "We'll take [Thursday's off-day] off from throwing and then we'll come back Friday and play another game of catch. And if everything goes well with that game, I'm sure Saturday or Sunday will be a day for a little side work."
Said side work could include getting on a mound to throw, which Moore said would be a big step.
"We're not going to test anything as far as getting off the mound too early if I'm not good with my game of catch," Moore said. "So we're going to make sure the next two times that I play catch that they go like they did today."
Bill Chastain is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.