It gave the Bulls their first 2-0 start since 1983 and their first as an FBS member.
Jackson dumped a pass off to Anthony Johnson, who broke a pair of tackles for a 29-yard TD with 59 seconds left. Temple moved to midfield but Buffalo wrapped up the victory on a strip-sack.
Temple pulled even when Ty Mason blocked a Buffalo punt and recovered the ball in the end zone, and Nutile connected with Ventell Bryant for a 2-point conversion to make it 22-all. The Bulls scored on Jackson's 5-yard strike to Antonio Nunn for a 29-22 lead.
The Owls (0-2) used a 50-yard run by Ryquell Armstead to set up Nutile's 3-yard scoring lob to Mack to pull even at 29 with 4:53 left.
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How a 1968 high school title explains Nick Saban's legendary career
Fifty years ago, Nick Saban won his first title, at West Virginia's Monongah High. His teammates remember a determined, cerebral leader who always thought three steps ahead. Sound familiar?
Kiper: Herbert 'is the guy if you need a QB'
Mel Kiper breaks down Oregon QB Justin Herbert and explains why the Giants should take him if he is on the board in April.