Oscar Tabarez's men were stunned in Fortaleza as the lowest-ranked side in Group D pulled off a surprise triumph.
Pinto acknowledged the significance of Saturday's victory, against the team who had beaten them in a qualification play-off for the 2010 World Cup.
"(It is) a historic triumph for football in Costa Rica," said the 61-year-old after the match.
The Colombian added: "We had worried a lot about their passing game but today we beat them.
"It's an important victory that motivates us. I want to congratulate the team for their tactical defence work."
"It is a beautiful win; we dedicate it to the (Costa Rican) people," Pinto said.
"But (we must) keep calm and (maintain) emotional balance. That is, we have not yet qualified. We have beaten a great team, nothing more."
