Spain defeated the Netherlands 2–1 in extra time.
Spain made it to the Women's World Cup semi-finals for the first time after winning on a goal in extra time.
"We were very focused," said Spain coach Villada.
In this match, in the 81st minute, Mariona Caldenti scored from the spot as a cross was fired into the area.
Van der Gragt then went ahead and scored in stoppage time to equalize 1-1.
"An exceptional level of play was shown by all the players and it was a match with a lot of emotion," said Wilda.
Spain suffered a minor error in the 17th minute when Alba Redondo struck the post twice.
The Dutch were unusually passive in the first half and were most dangerous when they sent long balls forward.
In the semifinals, Spain will face either No. 3-ranked Sweden or 2011 champions Japan.
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