Grice carried the ball 22 times for 84 yards and his fourth TD run with 8:50 remaining in the fourth quarter gave the Sun Devils (2-0) a 32-24 lead.
The Badgers (2-1) narrowed the gap to 32-30 when Melvin Gordon scored on a 1-yard run and the 2-point conversion failed with 3:53 to go.
Wisconsin got the ball back at its own 17-yard line and Joel Stave marched them to the ASU 13 when he lined the team up for a "spike" play to center the ball in the middle of the field for a field-goal try.
As Stave placed the ball on the line of scrimmage in preparation for the play, an ASU player jumped on top of it, claiming it was a fumble.
The officials did not whistle a delay of game penalty, and instead let the clock run out to the dismay and disbelief of the Badgers.
Beautician charged with giving client fatal silicone butt injection
McPhee, Cokas 'working on their marriage' after affair