Published: Aug 31, 2014 12:03 AM EDT

ARLINGTON, Texas (AP) - Jameis Winston threw for 370 yards and scored on a sparkling 28-yard run, and No. 1 Florida State opened defense of its national title with a 37-31 victory Saturday night over Oklahoma State on the same field where this year's champion will be crowned.

Winston wasn't nearly as efficient as he was in the college debut that jump-started his Heisman Trophy season a year ago, but made plays when he had to as the Seminoles (1-0) tied a school record with their 17th straight victory.

The Cowboys (0-1) were 19-point underdogs in the $1.2 billion home of the Dallas Cowboys but stayed close when J.W. Walsh matched Winston's scoring run with a 24-yard sprint and dive across the goal line to get within 27-24 early in the fourth quarter.

Winston's only passing touchdown was a 50-yarder to Rashad Greene, who had 203 yards receiving.