The Central American nation produced a huge shock in their Group D opener by overcoming Uruguay 3-1, with goals from Joel Campbell, Oscar Duarte and Marco Urena replying to Edinson Cavani's first-half penalty.
In response to the result, Mourinho had said that after springing "the big surprise" against la Celeste it would be "difficult for Costa Rica to make another one," continuing that the threat of Campbell and their tactical system were both "no longer new."
However, Pinto said he was surprised to hear the Chelsea boss' comments and insists his side can pick up another win when they meet the Azzurri.
"I am really surprised that Jose Mourinho said something like that," the 61-year-old told a press conference.
"He plays Sundays and Wednesdays and he is not able to repeat what he did the match before? Of course he is. We know that Italy is a very difficult opponent but we are confident that we will be able to repeat our performance.
"At the beginning, some people said that we were the worst and that we wouldn’t even get one point. But we think about what we are able to do. Other people said that Spain would play the final against Brazil. That will not happen now.
"We hope to play even better than we did against Uruguay," he continued.
"Yes, we are in the 'group of death' and that's because the four of us are really good. We are thinking about ourselves and what we can do, how we can improve our tactics, our play with the ball, our transitions and our mistakes from the Uruguay game. That is all."
The coach was then singled out Andrea Pirlo as the key man his side need to keep an eye on.
"I have studied Pirlo since 2006, when he was the best player at the World Cup.
"We will have to block him because he is the Italy player that thinks the most."