The Pony Express was able to accomplish many amazing feats during their time, but one thing that Dickerson and James were unable to do was beat the University of Texas in Texas Stadium. Once Dickerson and James had moved on to the NFL, it was another back, Reggie Dupard, who burst onto the national scene and finally led the Mustangs to a victory over Texas at home. In 1985, Dupard led the Mustangs to a dominating win over the Longhorns, 44-14, in one of the 90 Greatest Moments in SMU Football History.

Both teams got off to slow starts in the first quarter, with the only scoring being a field goal for the Longhorns. The Mustangs put their first points on the board early in the second quarter following a fumble recovery by Ben Hummel at the Texas 27-yard line. Six plays later, Don King scored from 4-yards out, and the Ponies led 6-3. After Texas tied the score, SMU embarked on a 9-play 79-yard drive, resulting in a King to Dupard 9-yard scoring pass, giving the Ponies a 13-6 lead. Following what had been a nip-and-tuck first half, no one could have predicted the fireworks which would be seen in the second half.

Texas returned the opening kickoff of the half 75 yards before Rod Jones ran the ball carrier out of bounds deep in Mustang territory. Then the spotlight was on the SMU defense. With Texas facing a fourth-and-one situation on the SMU 3-yard line, Kit Case, T.D. Briggs, and Darrell Reese teamed to halt the Longhorns' drive, giving the ball to SMU. The Mustangs were unable to mover the ball, however, and were forced to punt. Dodge Carter's punt was fumbled at midfield and recovered by Ken Masterson. A 45-yard pass from King to Jeffery Jacobs put the Mustangs inside the Texas 5-yard line, and three plays later Dupard scored on a 3-yard run to put SMU on top, 20-6.

Late in the quarter, Cobby Morrison and Jacobs teamed up to pull off one of the zaniest plays of the season. With SMU in possession on their own 5-yard line, Morrison took a handoff, broke into the Texas secondary, and cut toward the sideline. A Longhorn defender stripped the ball from Morrison, but Jacobs recovered the ball in full stride and headed the rest of the way for the score, increasing SMU's lead to 27-6. The play covered 95 yards, the longest run from scrimmage in SMU history until Kris Briggs broke the mark 17 years later.

The scoring continued into the fourth quarter as SMU drove deep into Texas territory and put the ball in Dupard's hands to do the rest. Dupard added touchdown runs of six and 39 yards to give SMU a memorable 44-14 thumping of Texas. Dupard finished the day with 117 yards and 3 touchdowns on 25 carries, plus one catch for 9 yards and a touchdown. Dupard's four touchdowns tied the school record for the most by a player in a game. SMU's offense tallied 424 yards of total offense, 333 on the ground.

Dupard went on to be an All-America selection in 1985, and has the distinction of being the only running back in school history to rush for over a 1,000 yards in three consecutive seasons. His career 5.9-yard average is the best in school history. He finished his career as SMU's second all-time leading rusher with 3,772 yards. He went on to become a first round draft choice of the New England Patriots in 1986. SMU fans will always remember that day in 1985 when Dupard led the Mustangs to a 44-14 pounding of arch-nemesis Texas, making it one of the 90 Greatest Moments in SMU Football History.