Both played for Class A Tampa on Thursday, with Soriano giving up one run on two hits in a 16-pitch inning, and Chavez going 1-for-3 with an RBI double.
Chavez, who has a bone bruise on his left foot, played in his fourth rehab start for Tampa on Friday, and went 1-for-4 with a double, playing seven innings at third base for the second straight night.
Chavez has been on the disabled list since May 6, and Soriano has been on the DL since May 27, and Girardi said he will likely pitch again Saturday or Sunday.
Girardi said he would like to see Chavez go through a nine-inning game before moving forward.
"You'd like to be able to get him back-to-back games to know that he can do that for you if you wanted him to do that," Girardi said of Chavez before Friday's game. "But besides that, not a whole lot. Just to see how the foot responds. It's one thing to DH, and then it's one thing to play the field and be on it all the time -- how's that foot going to respond? And as long as it's responding well, we have him play a couple days in a row, I don't see why we wouldn't consider him a player for us."