Madison Police Lt. Jennifer Krueger Favour said Dayne had reported the rings stolen from home in Waunakee, Wis. She said they were returned anonymously in a plastic bag Tuesday to Dayne's apartment in nearby Madison.
Krueger Favour did not describe what the rings were and Dayne did not return a message.
Dayne reported in April that his two Rose Bowl rings and about $100,000 worth of jewelry and other items were stolen from his Waunakee home. Last month, he reported a burglary of about $50,000 in jewelry and other items from the Madison apartment, including a diamond bracelet commemorating his 1999 Heisman Trophy win.
