The SU men and women both fell 9-0.
Vladimir Daskalov had the closest match for the men (0-9, 0-3 USA South), losing 6-3, 6-4 at No. 2 singles.
Dustan DeMello also battled hard, losing 6-2, 6-2 at No. 1.
On the women's side, Shannon Allin fell 6-2, 6-3 at No. 2.
The women's closest match came at No. 5, where Kelsey Brewster lost 6-4, 3-6, 0-1 (6-10) to Lindsie Bentham.
The SU women fall to 6-5, 3-3 with the loss.
The Methodist men are now 16-2 and the women 17-2.
Both teams are back in action at home on Wednesday with USA South matches against Christopher Newport.