Suarez was banned for nine matches and four months by football's highest body Fifa for biting on the shoulder of Giorgio Chiellini of Italy during a group match at Arena das Dunas in Natal in Brazil on June 24.
The Uruguayan striker said in a statement posted on twitter on Monday that he deeply regretted his act and that "the truth is that my colleague Giorgio Chiellini suffered the physical result of a bite in the collision he suffered with me."
He also apologised to the entire football community.
Chiellini said the incident was a thing of the past for him.
Suarez had earlier denied wrongdoing in a statement to Fifa and said that it was a simple collision with his Italian opponent.
Suarez was handed a four month ban by Fifa for the incident
Uruguay won the match against Italy to advance to the second phase of the tournament but couldn't make up for Suarez's loss against Colombia to whom they went down 0-2 to crash out of the tournament.
Suarez played a big role in bringing Uruguay back into reckoning by scoring a brace against England in a group match after suffering a shocking 1-3 defeat to Costa Rica. Suarez missed that match owing to an injury.