The two pitchers have been on the disabled list since April 6. Cashner has a strained right rotator cuff, which he felt after his first Major League start, while Wells has a strained right forearm.
The two pitchers will be re-evaluated again at the end of the current homestand, April 27.
"I've never been through this before," Wells said. "I know I'm not a patient guy. I'm going to try to push it. One thing I'm not going to do is force anything that's not there yet. I'll be a little careful. If I'm feeling good, I'll try to get back into it as quick as I can."
The two pitchers had been told to not pick up a baseball when they were placed on the disabled list. On Monday, Wells got to play catch.
"It felt good to be a baseball player again," Wells said. "I've been a cheerleader for the last two weeks. It's nice to put the spikes on and get out there."
Carrie Muskat is a reporter for MLB.com. She writes a blog, Muskat Ramblings, and you can follow her on Twitter@CarrieMuskat. This story was not subject to the approval of Major League Baseball or its clubs.