The North Americans held the tournament hosts and favourites to a stalemate which the 46-year-old believes shows his team are "ready for anything"
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In a somewhat scrappy affair, Mexico goalkeeper Guillermo Ochoa made three crucial saves - two to deny Neymar and one from Brazil captain Thiago Silva in the dying moments - as the game ended in a stalemate.
Mexico's best efforts came from Hector Herrera and Juan Vazquez from distance and their coach felt a draw, which leaves their qualification fate in their own hands, was deserved.
"It was a very even match," he said. "The team proved that we are ready for anything.
"It tastes like a tie. We had a great game against a great opponent, its people and their stadium."
Ochoa produced a superb save in the first half, flying to his right to claw away Neymar's nodded effort, before being in the right place to repel Silva's powerful close-range header three minutes from time.
And Herrera insisted he had become accustomed to his keeper putting in such a performance.
"As expected, he made three extraordinary saves," he said.