Sam Maniscalco sank three free throws with 0.3 seconds left and Bradley rallied to defeat Southern Cal 64-63 on Saturday in the Hall of Fame Tip-Off Classic.
The Braves pulled off a second-half comeback for the third straight game, overcoming a 54-46 deficit with 5:22 left.
Bradley is 4-0 for the first time since 2006-07, when the Braves were 5-0 en route to a 22-13 record.
Maniscalco, who finished with 17 points, also hit a 3-pointer with 58.6 seconds remaining to give Bradley a 61-59 lead.
Nicola Vucevic, who led the Trojans (2-2) with 22 points and 15 rebounds, was fouled with 39 seconds left and the Bradley bench was assessed a technical on the play. Vucecic hit all four of his free throws but missed two more foul shots with 11 seconds to go.
Andrew Warren added 14 points for the Braves and freshman Walt Lemon Jr. scored 10 of his 13 points after the break.