At 3:25 of overtime in the Flyers/Capitals game, the Situation Room initiated a review under the terms of a Coach's Challenge to examine whether Washington was off-side prior to Nicklas Backstrom's goal.
After reviewing all available replays and consulting with the linesman, NHL Hockey Operations staff confirmed the Capitals entered the attacking zone legally prior to the goal.

Therefore the original call stands - good goal Washington Capitals.
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NOTE: In the final minute of play in the third period and at any point in Overtime (Regular Season and Playoffs), Hockey Operations will initiate the review of any scenario that would otherwise be subject to a Coach's Challenge.