The English school team put its foot on the accelerator in the second spell to beat Kaikorai Valley College 42-7 at Montecillo.
A gutsy Kaikorai team held the visitors to a slender 14-7 lead at the break, but the John Hampden forwards took charge in the second spell and the team scored four more tries.
Key players for the English team were hooker Josh Collis, flanker Richard Penn and lock Ben Malone.
Fly-half Matt Brown controlled play efficiently and scored two tries and kicked six conversions.
Standout players for Kaikorai Valley were No 8 Regan Todd, first five-eighth Sam Myhill and centre Caleb Roberts.
The English team is making a five-match overseas tour and the game in Dunedin was one of three in New Zealand.
It lost its first game to Anauri Area School at Culverden 30-5, and its next game is against Saracens in Christchurch.
The English team, from a school just out of London, will also play games in Australia and Hong Kong.
John Hampden Grammar 42 (Jack Bower 2, Matt Brown 2, Sean Caruana, Cameron James tries; Brown 6 con), Kaikorai Valley College 7 (Regan Todd try; Sam Myhill con).
Halftime: 14-7.