Of course, they do...
For the record, here's FIFA's statement:
"The player Luis Suarez is to be suspended for nine official matches. The first match of this suspension is to be served in the upcoming [round of 16] FIFA World Cup fixture between Colombia and Uruguay.
"The remaining match suspensions shall be served in Uruguay's next FIFA World Cup matches, as long as the team qualifies, and/or in the representative team's subsequent official matches.
"The player is banned from taking part in any kind of football-related activity -- administrative, sports or any other -- for a period of four months. A stadium ban is pronounced against Luis Suarez, who is prohibited from entering the confines of any stadium during the period of the ban."
It would mean that in addition to his time in Rio, you can possibly adding missing nine Premier League games, Champions League and Capital One Cup matches before the end of October. This, of course, is if Suarez even gets to stay at Liverpool. The first time he bit another player he was booted from his Dutch side.
Uruguay FA President Wilmar Valdez is appealing and he has three days to get his defense together.
ESPN dispatched Wright Thompson to Montevideo for reaction. Max Bretos tracked him down