The Tigers (9-13, 3-6 Southeastern Conference) snapped a six-game losing streak despite managing just 13 points in the first half.
It was a season-low in points for Alabama (14-8, 6-3), which had won six of seven games and five straight in the rivalry. The Tide's previous low was 50 points.
Payne scored nine points in the second half. Wallace, who was averaging 3.6 points, matched his season high -- all in the second half.
Auburn mounted the comeback even with leading scorer Frankie Sullivan missing his first 11 shots in a 1-for-13, four-point performance.
Reggie Witherspoon, who spent more than 13 seasons coaching at Buffalo, is returning to the city to coach Canisius College.
North Carolina Hall of Fame men's basketball coach Roy Williams is recovering from knee-replacement surgery.
Sparkling facilities are one thing, but Tim Miles needs to regain the momentum of Nebraska's 2014 run to the NCAAs if it is to play with the big boys.