The two nations will meet in the semifinals this week.
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After their penalty shooutout win against Portugal, Deschamps said: "One, calm down. Always calm. It's football. There was great emotion, but then when we celebrated it with the fans. France is once again in the semi-finals in a great competition.
"It is a great pleasure for me tonight because of the group of players from the quality that I have both on a sporting and human level.
"They (Spain) are the best team, without a doubt. I have seen some games. They are doing very good things, but we have to recover well and we will look for a place in the final. We will fight as always. Looking at Spain's games it is worth congratulating them."