Bere looked surprisingly confident in the first half, and deservedly took the lead when Chris Bray ran on to a superb through-ball from Nick Aplin to round goalkeeper Jack Sleeman and slot home.
The visitors were then unfortunate not to increase their advantage when an Aplin shot hit the crossbar.
Mike Curtis, Jason Cor-dice and Paul Simpson all had good chances to score, but the lead remained at
one goal going into half-time.
Torpoint came out for the second period determined to get back on level terms, and former Torpoint goalkeeper Jack Dixon pulled off three superb saves to deny Lewis Kershaw, Darren Shepard and Luke Avis-Reardon from equalising.
However, the hosts eventually got their reward when a Tom Payne corner was headed on by Tom Hall to Dean Cardew, who headed in from close range.
As the pitch began to cut up and deteriorate, so did the play, and with seven minutes remaining Bere Alston snatched the winner.
A foul on Marcus Pethick led to a free-kick fro Paul Simpson's, and his effort was spilled into the net by goalkeeper Jake Sleeman.