The Uruguayan FA argued that the sanctions imposed on him were excessive.
Suarez was banned from all football activities for four months, and nine international matches, after the incident which the Uruguayan FA described as 'excessive' and that 'there was not enough evidence'.
The option that is available to the 27-year-old to try and reduce his ban is to appeal to the Court of Arbitration for Sport, otherwise he is likely to be banned from all football activities until late October, meaning his club will be affected.
Suarez later apologised for the incident to the 'whole football family' after he implied he said he lost his balance. He vowed a similar incident would never happen again, with the apology receiving a lot of praise from figures at Barcelona, who the striker is seemingly on the brink of joining for a fee of around £75 million.
Chiellini himself said on twitter that he hoped Suarez's ban would be reduced.
A statement on the FIFA website, read: "The FIFA Appeal Committee has decided to reject the appeals lodged by both the Uruguayan player Luis Suarez and the Uruguayan FA, and to confirm the decision rendered by the FIFA Disciplinary Committee on 25 June 2014 in its entirety.
"The terms of the decision taken by the FIFA Appeal Committee were communicated to the player and the Uruguayan FA today."