The former will still face probe into his alleged refusal to get on the pitch during a Champions League game against Bayern Munich. The latter is punished for kicking a Montenegro player at the European Championship qualifiers.
Tevez returns to City and Rooney handed three-match ban
Carlos Tevez resumed life as a Manchester City footballer on Thursday after serving a two-week ban.
The Argentina international's suspension for allegedly refusing to play in the Champions League defeat at Bayern Munich has now expired and he turned up at the club's training ground as expected just after 12.10pm yesterday (3.10pm in the UAE).
Tevez, in a black Hummer and accompanied by a companion, drove into the Carrington complex and was met by two of the club's security staff when he had parked.
It is understood he arrived for a fitness session as the rest of the first-team squad and Roberto Mancini, the City manager, had been at Carrington since 11am for a regular training session.
Tevez faces the prospect of a heavy punishment, after the club found he that had a case to answer over his conduct in Munich last month. He has already been fined two weeks' wages.
If City impose a further punishment, which seems likely, Tevez will still have recourse to two appeal procedures, first to the City board, and then the Premier League.
Meanwhile, England's Euro 2012 hopes were dealt a huge blow when Wayne Rooney was on Thursday night handed a three-match ban by Uefa.
The decision means the striker will miss all of England's Euro 2012 group matches in June.
Rooney was shown a straight red by Wolfgang Stark, the German referee, for kicking Miodrag Dzudovoic in England's 2-2 draw in their Euro 2012 qualifier against Montenegro last week.
Fabio Capello, the England manager, said it was a "silly mistake" by the Manchester United player.
The 25 year old was always in danger of receiving a three-match ban despite the Football Association submitting a dossier of evidence pleading for leniency, including a letter from Rooney himself.
The FA will now wait for the reasoned decision from Uefa's control and disciplinary body before deciding whether to lodge an appeal.