Devils defenceman Marek Zidlicky opened the scoring at 6:37 of the first period, dancing around Flyers defenceman Erik Gustafsson and evading goalie Ray Emery before backhanding the puck in from behind the goal line.
Sislo scored a similar goal when he beat Andrej Meszaros and beat Emery low on his stick side.
The Flyers got with 2-1 when defenceman Kimmo Timonen scored on the power play at 18:29 of the third period.
Emery had 17 saves and Cory Schneider stopped 21 shots for New Jersey.
The teams will complete the home-and-home series Thursday night in Newark.
I was going nuts and I saw [Subban], he was going crazy, and the ref had no idea where to go. [Subban] was skating to me, and I was skating to him and the ref was right in between us and I don't know, I kind of hit him pretty hard, I thought, but those were some emotions and I'm pretty sure he understands that.
— Montreal forward Alex Galchenyuk on the celebration following his OT goal against Ottawa in Game 2