Nikita Kucherov also connected in the shootout as the Lightning handed New York its sixth straight loss at home.
Filppula scored his second third-period goal off a scramble with 3.8 seconds left to force overtime. He also scored at 17:07 to cut New York's lead to 2-1. He has 12 goals on the season.
Introducing the new official NHL App, available for iPhone, iPad and Android smartphones and tablets. A host of new features and improved functionality are available across all platforms, including a redesigned league-wide scoreboard, expanded news coverage, searchable video highlights, individual team experiences* and more. The new NHL App on your tablet also introduces new offerings such as 60fps video, Multitasking** and Picture-in-Picture.
*Available only for smartphones
** Available only for suported iPads