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The Albiceleste prevailed 4-3 on penalties, but the Spanish referee caused controversy in the way he officiated the match.
Lahoz handed out 16 yellow cards over the course of the tie as emotions spilled over, including Messi.
“I don’t want to speak about referees because after they will sanction you. But people saw what happened,” Messi said.
“I think Fifa must take care of this, it cannot put a referee like that for a match of such magnitude, of such importance. The referee cannot fail to be up to the task.
“A lot of joy and relief. It wasn’t to go to penalty kicks. We suffered too much for how it all happened.
“But the it’s the quarter finals of the World Cup. Going through is the most beautiful and impressive thing.
“Argentina is among the top four, because we show game after game that we know how to play each game with the same intensity, with the same will.”