With the win, the Toreros (3-0, 3-0) broke the NCAA FCS record for consecutive conference wins with their 40th-straight victory over a Pioneer Football League opponent. The previous record of 39 previously was set by Duquesne from 1999 to 2006 competing in the MAAC.
San Diego never trailed on Saturday.
After being forced to punt on their opening drive, San Diego's defense came up with the game's first score when Amir Wallace forced a fumble on Jalen Jones and returned Presbyterian's miscue 23 yards for a touchdown with 10:26 left in the first quarter.
Following Brandon Eickert's 23-yard field goal for a 10-0 lead, one play after the ensuing kickoff Keith Pearson hauled in a pass from Brandon Thompson and sprinted 75 yards to reduce Presbyterian's deficit to 10-7.
Randall threw a 4-yard touchdown pass to Michael Carner with seven seconds before halftime for a 10-point lead, then found Derek Kline from 15-yards out with a minute left in the third for a 24-7 advantage.
Brandon Thompson led a four-play, 52-yard drive that ended with his 6-yard touchdown run early in the fourth. His 80-yard touchdown pass to Lawson Bachelder with 41 seconds left made it 24-21, but the Torreros secured the on-side kickoff attempt and ran the clock to end it.
Thompson threw for 323 yards for the Blue Hose (1-3, 1-3).
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