Liverpool players Luis Suarez and Craig Bellamy were the subject of the abuse, with coins and plastic bottles being thrown at them during the Merseyside derby at the weekend.
The Premier League club have stated that the indiscipline is not acceptable, and anyone found guilty will be dealt with in an unerring manner.
“We are fully aware of the incidents which occurred during Saturday’s derby game,” Everton director of communications Ian Ross told the club’s official website.
“We are currently working with Merseyside Police on collating and analysing all available CCTV footage of the incidents.
“If we can identify any supporter who threw anything – and we mean anything – on to the pitch on Saturday we will take immediate firm and far-reaching action.
“This behaviour is totally unacceptable and will be rightly condemned by all right-thinking Evertonians – and that is 99.9 per cent of our fan base,” he concluded.
Jack Rodwell was sent off in the first half of the match in controversial fashion, and Everton have appealed the dismissal, with a decision to be made in coming days.
By Gareth McKnight