Stefan Noesen put the Hurricanes ahead 1-0 at 6:20 when he tipped Teravainen's wrist shot for a power-play goal.
Svechnikov made it 2-0 at 17:03, skating the puck from Carolina's blue line and firing a wrist shot from the right face-off circle.
Pavelski's power-play goal made it 2-1 at 18:38 after he tipped Robertson's shot in front of the net.
Benn tied it 2-2 at 5:38 of the second, redirecting Miro Heiskanen's shot on the power play.
"Big point, down 4-2 in the third, quite a bit of adversity all night," Dallas coach Peter DeBoer said. "I've been happy with the group."
NOTES: Pavelski played his 1,200th NHL game. … Robertson has 14 points (two goals, 12 assists) in nine games against Carolina. … Benn tied Brian Bellows for second on the Stars/Minnesota North Stars franchise goal list with 342. Mike Modano leads with 577. … Necas had a career-high eight shots on goal. His overtime goal was the fourth of his career.