With his Huddersfield Town contract up at the end of June, goalkeeper Jonas Lossl has signed a three-year deal with Everton.
Fulham and Huddersfield Town have released a host of first-team players following their relegation to the Championship.
Fulham finally found a way past Huddersfield Town in second-half stoppage time, when Aleksandar Mitrovic struck the winner.
All three of the Premier League's promoted sides have survived, much to the shock of the Huddersfield Town head coach David Wagner.
Davy Propper was shown a red card 16 minutes from time, but Huddersfield Town were unable to add to Steve Mounie's strike at Brighton.
Jonas Lossl, who has kept eight Premier League clean sheets this season, has agreed a permanent move to Huddersfield Town.
Swansea City moved out of the bottom three after cashing in on two lucky breaks against Huddersfield Town at the Liberty Stadium.