But Syracuse scored the game's next five points to reclaim a lead that they would not let slip away.
Trailing by three points in the final seconds, senior guard Shannon Evans' 3-point attempt was off the mark, and Syracuse hit one of two free throws with less than a second remaining to seal the victory.
ASU's 56 points were a season low, and the Devils went just 3 of 10 from the free-throw line.
The Devils opened the season a perfect 12-0 that included wins over NCAA Tournament No. 1 seeds Kansas and Xavier, and they were the last remaining undefeated team in the country. They were ranked as high as No. 3 nationally, matching their highest-ever ranking. But they went just 8-10 in Pac-12 play and fell to Colorado in the first round of last week's Pac-12 Tournament.
The Devils were granted an NCAA Tournament bid despite their poor finish to the season, advancing to the Big Dance for the first time in four years.