Liam Matthews ran the offense with four goals but faceoff troubles meant the Nittany Lions couldn't keep up with the Big Red.
The Nittany Lions await the winner of Oregon and Nebraska.
The two programs have met three times before, with the Nittany Lions on a two-game win streak.
The Nittany Lions' season will continue in the semifinals on Saturday.
Gallucci did not appear in a game during the 2024-25 season.
Lee was a key reliever for the Nittany Lions last season.