Melo stamped on Arjen Robben during Brazil's Quarter-Final against Holland, which they eventually lost 2-1, much to the disappointment of their fans.
Melo was also at fault for Holland's second goal, losing the man he was supposed to mark, Wesley Sneijder, who gave Holland the lead.
He was sent off shortly afterwards.
"It's the ugliest moment of my career. I am too sad, but football is like this," Melo said.
"Unfortunately you can't always win at a World Cup and today we didn't manage it.
"Anyway, I've had a good World Cup and today I had a good first half with the assist for Robinho's goal.
"If we had won the World Cup, I would have given myself a 10 out of 10. We didn't do it, so I will content myself with a six."
When asked if today's performance hadn't helped his cause at Juventus, Melo said: "I don't care at all about what the people think. I am not afraid of the criticism. Those who understand football know my strength. The others don't interest me.
"I am happy to return to play for Juve because they are a great team and I want to win with my club."