The Flyers scored three shorthanded goals in the game to force overtime, but the Stars got the extra point with Joe Pavelski's game-winning goal in overtime in a 5-4 loss on Saturday night.
The Flyers begin the final five games of the season on Thursday night against the Dallas Stars, who currently sit in a three-way tie atop the Central Division.
Jacob Peterson scored the eventual game-winning goal at 16:35 of the third to put the Dallas Stars ahead in a 3-1 loss that was the Flyers 12th straight on Monday night at Wells Fargo Center.
The Flyers will face the Dallas Stars on Monday night while on the cusp of two historical moments. Keith Yandle with tie Doug Jarvis' consecutive games record at 964, while the Flyers would match a franchise-record winless streak of 12 with another defeat.
The result was a 5-2 loss for the Flyers to the Stars, who got the only goal of a first period while getting heavily out-shot, then took control for the remainder.
The Dallas Stars struck first, but the Tampa Bay Lightning were able to push back to tie the game after one, but a pair of goals late in the second set the tone for the Stars, as they were able to take Game 1 by a score of 4-1 thanks to some unlikely heroes and outstanding goaltending from Anton Khudobin.
The Dallas Stars clinched a spot in the Stanley Cup Final on Monday and could be joined by one of the two teams left in the East on Tuesday. Also a look at a new coaching hire in the Metropolitan Division as a familiar face goes to Washington.
The 4-1 result to Dallas was something all too familiar from seasons' past. The Flyers did a lot right in the game -- control the puck, get a lot of shots, defended well and limited shots and chances -- but came out on the losing end, and the score wasn't really all that close.