Rocco Grimaldi and Scottie Upshall scored in the first period for Florida, and Quinton Howden's unassisted goal 2:25 into the second period made it 3-0. But Valeri Nichushkin and Jason Spezza scored 53 seconds apart to cut the deficit to 3-2, and Seguin tied the game at 14:10.
Spezza, acquired by the Stars during the summer, had two assists to go along with his goal.
Stars goaltender Kari Lehtonen left the game with 18:11 remaining after a collision in the goalmouth. Coach Lindy Ruff said Lehtonen has a mild concussion.