The Central Americans claimed shock victories over Uruguay and Italy to secure their passage into the last 16 - and send England packing at the group stage.
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And Pinto insisted his team were underrated heading into the tournament in Brazil as they made it extremely difficult for every other country.
"Maybe there are a lot of people who didn't have faith in us because we were in the 'Group of Death'," he told press conference. "But it’s the others who are dead and we’re going to the next round.
"Of course we want to win the next match now and I must ask my players to keep calm and play just as well.
"We knew that we could make history for Costa Rica and today we have done that. That’s what I told my players today – let’s change history.
"It was a beautiful match and the people of Costa Rica deserve this day. They have supported the team and me and this was for them.
"We have played a historic team. They’re really good. They have wonderful players so, of course, we feel really proud."