Kelly (shoulder) threw two innings in a simulated game Thursday, Alex Weiner of ArizonaSports.com reports.
Kelly faced hitters for the first time since being placed on the injured list in late April with a strained right shoulder. The 35-year-old is slated to throw again Sunday and looks to be nearing a rehab assignment. Kelly has only made four starts this season, and will likely require multiple rehab starts before being cleared.