Chelsea and West Ham could still be punished over the behaviour of their fans in their Carling Cup tie at Stamford Bridge in October last year.
The FA charged both clubs after ugly scenes which saw supporters clash and Hammers fans restrained by riot police.
Chelsea's Mateja Kezman was also hit by a missile which appeared to come from the West Ham section of the crowd.
An independent disciplinary commission has dismissed the clubs' appeals and will now consider possible action.
