With just seconds left in the third and final minute of stoppage time, substitute Haris Seferovic finished off a length-of-the-field move by slamming home a close-range shot.
After wild Swiss celebrations, Ecuador's shell-shocked players barely had time to restart before the final whistle was blown.
It was the fifth time in the first nine matches in Brazil that a team had come from a goal down to win — but this was the most dramatic of all the comebacks.
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