"He's on a new team, he's had some history with Doc," manager Kirk Gibson said. "[I want to] get him in there, want to get him involved. He's a veteran guy, so he'll be good for us."
Overbay entered Tuesday 3-for-10 with two RBIs and two strikeouts lifetime against Halladay.
Gibson shuffled his lineup for Tuesday's series opener against the National League East leaders, also penciling Sean Burroughs into the lineup in place of Kelly Johnson. Burroughs played third base, with Ryan Roberts moving from third over to Johnson's spot at second.
"He's just struggled lately," Gibson said of Johnson, who's hitting 4-for-37 this month. "He really presses. We talked the other day a little bit. He's not that far off. He's got a lot of pride and he hasn't hit the ball the way he knows he can."