Brighton are level in an entertaining match at the Amex and have had just about the best chances with Davy Propper and Jurgen Locadia both going close.
Albion have had a scare after debutant keeper David Button lost the ball from a Theo Walcott cross but Albion managed to clear their lines.
In stoppage time a mix up between Dale Stephens and Button gifted Everton a corner but the Seagulls defence cleared it away.
Florin Andone has again been impressive chasing down lost causes and causing the Toffees back line some concern.