Butler's Chuck Harris scored on a layup to make it 53-50 with 27 seconds left, but Marcus Williams hit two free throws to send the Aggies (5-1) into Wednesday's fifth-place game.
Jair Bolden had 10 points to lead Butler (3-3), which had 19 turnovers that led to 21 Texas A&M points. The Bulldogs shot 36% and went 5 for 20 from the 3-point arc.
The Aggies fell into a big early hole in their Maui opener against Wisconsin and saw their comeback attempt run out of steam late in a 69-58 loss.
Butler got off to a brutal start in its Maui opener against No.