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.
College basketball coaches across the country will hit the recruiting trail hard in July to target the Class of 2017's top prospects. Which players are the nation's top programs targeting?
The Tar Heels could lose Justin Jackson and Kennedy Meeks after next season. Coach Roy Williams has nearly every top-10 2017 prospect on his board.
In a decade at Ole Miss, Andy Kennedy has seemingly worked wonders with limited talent at a program that has rarely had success historically.