"I didn't see that. And if it happened the referee probably didn't see it. So no I don't have any more comments to make. We had more important things than this in a football match.
"There seems there is animosity against this football player," he added.
"He just came out of a difficult moment and he has been penalized. There are people hiding behind the tree waiting for something to happen."
Suarez was also backed by team captain Diego Lugano, who instead blamed Chiellini for exaggerating the entire episode.
When asked by reporters about the incident he said: "You saw this, really?
"You need to show me because I didn't see anything.
"Did you see it today or did you see what happened in other years. You couldn't have seen it today because nothing happened.
"The worst of everything is the attitude of Chiellini. He's a great player, with an enormous status. It doesn't correspond with Italian football. As sportsmen leaving the field, crying and appealing against a rival. As a man he disappointed me totally."
Diego Godin's 81st minute header secured victory for Uruguay against an Italian team which played the final half hour with 10-men after Claudio Marchisio was sent off.
The defeat led to Italian coach Cesare Prandelli offering his resignation in his news conference after the game -- but all eyes were still on Suarez.
The Uruguayan, who plays his club football with Liverpool, was banned for 10 games in April 2013 after being found guilty of biting Chelsea defender Branislav Ivanovic.
He was also guilty of biting during his time in the Netherlands with Ajax where he was banned for seven games after leaving a scar on the collarbone of Otman Bakkal.
Suarez's rap sheet is lengthy.
At the 2010 World Cup in South Africa, he deliberately handled the ball on the goal-line to deny Ghana a place in the semifinals of the World Cup.
He was sent off for his troubles but Ghana missed the penalty and Uruguay went on to finish fourth in the tournament.
The following year after his move to Liverpool, Suarez was found guilty of racially abusing Manchester United's Patrice Evra.
He was fined $63,000 and banned for eight matches.
Last week, after scoring both goals in his side's 2-1 victory over England, Suarez hit out at the British media after claiming he had been unfairly treated over his transgressions.
"Before the game people in England laughed about my attitude over the last few years," he told reporters following the game.
"I want to see what they think now. I have dreamed of this moment."