McGloin was hospitalized after the scuffle and released from Mount Nittany Medical Center on Saturday night.
McGloin's father, Paul, told the Patriot-News of Harrisburg and the Pittsburgh Post-Gazette that his son suffered a seizure and a possible concussion but was back at his campus apartment. Messages left Saturday night by The Associated Press for Paul and Matt McGloin were not immediately returned.
McGloin attended team practice Sunday but didn't participate in any drills, his mother, Cathy, told the Patriot-News.
The school said campus police and judicial affairs would investigate.
Penn State is preparing for the TicketCity Bowl on Jan. 2 in Dallas.
Information from The Associated Press contributed to this report.