Asked about updates for those players on Thursday, Cardinals manager Tony La Russa said: "Just a day further along."
Schumaker, who is out with a right triceps injury, has been taking ground balls, but has not yet been cleared to throw or hit. He said on Thursday that he would likely be able to begin hitting again on Sunday.
Augenstein and Tallet have been throwing, but there is no timetable for either. The next step for Tallet, who broke his right hand in a game against the D-backs last month, is actually just playing catch.
The left-hander has been able to throw, but has not been allowed to catch the ball yet. He said Thursday that he will be cleared to do that on Friday.