Tallet, however, did not catch any return throws during his session.
"He's still restricted that way," manager Tony La Russa said.
Tallet was injured against the D-backs on April 12, when he got tangled up with Stephen Drew on a play at first base.
"It's getting a lot closer," Tallet said. "Right now we're working on getting fitted for a kind of a splint to go in my glove to help protect the hand."
Tallet, signed by the Cardinals in the offseason as a free agent, had appeared in five games before suffering the injury. He was 0-1 with a 2.08 ERA after allowing two runs (one earned) on four hits over 4 1/3 innings. He struck out four batters and walked three, including one intentional.
"It's tough to watch your teammates go out there and play the game that you're getting paid to do and you're not able to do it for something as simple as not being able to catch the ball," Tallet said.
On Monday, Tallet was fitted for a piece of plastic that would be put in his glove to protect where the fracture occurred. That will be one of the next steps in his recovery process.
"We looked at X-rays today, and everything looked good," he said. "Right now they are trying to be a little precautious. They don't want me to go out there and something happens and break it again."