The game was played as part of the Bert and Iris Wolstein Classic at Jesse Owens Memorial Stadium.
The Buckeyes outshot UC Davis 21-8 overall, including a 3-2 margin in the second overtime, but only three of their shots were on goal and were each stopped by Aggie goalie Kris Schultz.
The first half was played nearly even in the shots department with Ohio State taking eight of the game's 13 attempts. Each goalie had two saves. The Buckeyes held a 10-1 advantage in the second half but none were on goal.
In the first overtime, both teams didn't take a shot before five shots were tried in the second but to no avail.
UC Davis returns to action at the tournament on Sunday when its faces Canisius at 9 a.m. (PDT).