Rodriguez (shoulder) threw a live batting practice session Monday, Rhett Bollinger of MLB.com reports.
It's the first time Rodriguez has faced hitters since he landed on the 15-day injured list prior to Opening Day due to right shoulder inflammation. As long as Rodriguez bounces back well from Monday's session, he could be cleared for a rehab assignment before long. The right-hander would need multiple rehab starts before he's ready to join the Angels' rotation.