High-profile figures from across the world of sport have called for the striker to seek expert help over his persistent indiscipline
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The Celeste won the match and sealed their route to the last-16, but will be without Suarez for the rest of the tournament following his sanction.
“He should go for treatment," Valcke told reporters. "It's definitely wrong.”
Suarez has already been involved in biting controversies on two previous occasions, having been banned for seven matches in 2010 for gnawing on PSV's Otman Bakkal during his time at Ajax.
Most recently, he was suspended for a further 10 games after biting Chelsea’s Branislav Ivanovic while on duty for Liverpool in the Premier League.
The pattern of repeat offending has prompted several figures within the sport to advise that Suarez seeks help, and Valcke acknowledged that Suarez’s previous history of ill-discipline influenced Fifa’s decision.
"The first time, it's an incident. More than once, it is not," he added.
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International players’ union FifPro have also called for Suarez to “receive all the support he needs”.
A statement from the organisation read: "The focus should be on the rehabilitation and serious treatment of the player. FifPro believes that treatment must be a part of any sanction."
Suarez, for his part, has denied the allegations, suggesting that the altercation with Cheillini was little more than a coming together between the two men.
The striker has flown back to Montevideo, while his team-mates are preparing to face Colombia at the Maracana on Saturday.