The Auburn men's team, competing in the league championship event at Sea Island, Ga., is in second place going into Sunday's final round.
The Auburn women's team, the defending SEC champs, are at 27-over-par 603, one shot ahead of host Arkansas, led by senior Patrica Sanz.
Sanz, who shot a 73 on Saturday, is at two-under-par 142 and is one shot ahead of Vandy's Marina Alex.
Alabama, which led Auburn by nine shots after the first round, is in third place at 609, six shots behind the Tigers.
"Today was a really fun day," said Auburn Coach Kim Evans. "This is a very challenging golf course and we did a good job of playing it one hole at a time. We are looking forward to getting back out here in the morning and finishing it up right."
Commenting on Sanz, Evans said, "Patti is playing some great golf right now. She is really doing a great job of staying focused and taking it a hole at a time. On a course as difficult as this one, you can't get ahead of yourself."
Junior Carlie Yadloczky and senior Haley Wilson also shot rounds of 73 on Saturday while freshman Victoria Trapani and sophomore Marta Sanz came in with rounds of 78.
The men's team is 11 shots behind Alabama after shooting an even par 280 on Saturday at the Sea Island Golf Club. The Tigers are three-under-par for the tournament.
Freshman Michael Johnson is tied for fourth place individually at three-under 137 after putting together rounds of 68 and 69. Will McCurdy and Blayne Barber are tied for eighth at one-under as Barber shot a team-low two-under 68 on Saturday and McCurdy a 71. Dominic Bozzelli is tied for 30th at 143.
"It was the second day in a row we played very well for the first 12 to 13 holes and we did not finish well," said Auburn coach Nick Clinard. "We lost four shots on 16, 17 and 18. Hopefully, the weather is going to be bad on Sunday and with the bad weather, I hope that we can play well and make a move."