The 31 year old 'keeper, commonly refered too as the second best in the Premiership, after the guy who keeps him out of the Chelsea team, is the third player that Everton are after from the new Champions.
Everton are currently negotiating a £10m double swoop for Scott Parker and Mikael Forssell.
Cudicini has been frustrated at Stamford Bridge this year, with the superb Petr Cech keeping him out of the side. It is known that Man United are interested, but Chelsea are thought to have ruled out a sale to such a close rival.