Picking up a loose puck in his own end, Kane streaked down the left wing boards and bee-lined to the Stars net. John Klingberg tried to track Kane down and tie him up as Kane approached the crease, but the Sabres forward was still able to get a shot off and buried it for his 13th goal of the season 3:44 into the contest.
A few minutes later, Eichel drew Klingberg into a holding penalty to cut a Stars power-play short and set up a Sabres man advantage that led to them taking a 2-0 edge at the 9:30 mark.
As Buffalo broke out of their own end on, captain Brian Gionta threaded a pass just over the blue line to Kane, who bullied his way down the left-wing boards and in around behind the net. He then sent the puck out in front to Moulson, who put enough on it for it to get past Niemi and over the goal line.
Moulson now has 15 points (9+6) in 15 career games against the Stars.
However, 29 seconds later, Patrick Sharp let a shot go through traffic at the top of the faceoff that beat Nilsson to make it a one-goal game.
Buffalo only mustered one shot on goal after Moulson's goal and trailed 17-5 in shots after the first. In net, Kari Lehtonen replaced Antti Niemi to start the second period for Dallas.
The Stars opened the second period with a man in the box and Dallas immediately responded. Jamie Benn scored 42 seconds into the period to make it 2-1. Buffalo challenged the play because as the Stars entered the zone, Jason Spezza bumped into Tyler Seguin and could have forced him offside.
But it was deemed inconclusive upon review, resulting in a good goal and a loss of a timeout for Buffalo.
"I believe the answer is we can't definitely know again," Bylsma said. "That's three of those."
Here's the official explanation from the NHL:
At 0:42 of the second period in the Sabres/Stars game, Buffalo requested a Coach's Challenge to review whether Dallas was off-side prior to Jamie Benn's goal.
Review was not conclusive in determining whether Dallas was off-side prior to the goal. According to Rule 78.7, "If a review is not conclusive and/or there is any doubt whatsoever as to whether the call on the ice was correct, the On-Ice Official(s) will be instructed to confirm their original call."
That marker opened up a three-goal period for the Stars with Seguin and Sharp scoring to make it 4-2.