Emmett Graham scored on a 1-yard run, Sabby Piscitelli recovered a fumble and ran 24 yards for a touchdown and kicker Matt Bryant hit two field goals and three extra points for the Buccaneers (2-0).
Matt Cassell, starting in place of the injured Tom Brady, was 6-for-10 for 57 yards for New England (0-2).
Heath Evans scored on a 1-yard run for the Pats.
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