The Senators blew a 3-0 lead before Michalek and Spezza bailed them out in the shootout. Matt Read scored in the shootout for the Flyers.
Spezza, Daniel Alfredsson, Chris Neil all scored first-period goals for the Senators.
Wayne Simmonds, Sean Couturier and Braydon Coburn evened it at 3 with goals in the second period for the Flyers.
Senators goalie Craig Anderson was flawless over a thrilling 5-minute overtime during which the Flyers dominate in every way but the scoreboard.