Punto filled in for Kevin Youkilis on Sunday in Detroit and produced three hits and three RBIs in the leadoff spot. Punto batted ninth on Tuesday.
Aviles has three hits over his first 15 at-bats. All the hits were in Sunday's game.
"Mike sprained his ankle a little going out of the box yesterday in that second at-bat, I guess," said manager Bobby Valentine. "He says he's fine. He always says he's fine. I guarantee he's going to say he's fine every day this year. I thought Nick playing such a good game the other day, it was a good way to get him back in there."