Philadelphia's Ray Emery stopped 10 of 11 shots before being replaced by Johan Backlund late in the second period. He saved 10 of 13.
After Sheppard put the Wild ahead 4-3 on a shot that bounced off Philadelphia's Ryan Parent into the net at 15:20, Briere pulled the Flyers even by scoring from in close at 16:56.
Koivu, who had two assists, and linemate Andrew Brunette made their first appearancers of the preseason after being sidelined with leg injuries. Minnesota right winger Petr Sykora returned after missing three games with an ankle injury.
The Flyers open the regular season at Carolina on Friday. Minnesota opens at Columbus on Saturday.
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Arena: Wells Fargo Center Location: Philadelphia, Pennsylvania
Attendance: 17,395 (89.2% full)
Claude Giroux Assist: Matt Carle
Mika Pyorala Assist: Mike Richards
Martin Havlat (power play) Assist: Mikko Koivu, Brent Burns
Brent Burns Assist: James Sheppard, Mikko Koivu
Mike Richards Assist: Simon Gagne, Braydon Coburn
Cal Clutterbuck (power play) Assist: Pierre-Marc Bouchard, Kim Johnsson
James Sheppard Assist: Brent Burns
Daniel Briere Assist: Jeff Carter
No scoring this period
Daniel Briere shootout attempt against Niklas Backstrom: GOAL.
Mikko Koivu shootout attempt against Johan Backlund: GOAL.
Mike Richards shootout attempt against Niklas Backstrom: GOAL.
Martin Havlat shootout attempt against Johan Backlund: GOAL.
Simon Gagne shootout attempt against Niklas Backstrom: SAVED.
Petr Sykora shootout attempt against Johan Backlund: SAVED.
Jeff Carter shootout attempt against Niklas Backstrom: SAVED.
Antti Miettinen shootout attempt against Johan Backlund: GOAL.