Brighton piled the pressure on Everton manager Frank Lampard with an emphatic victory at Goodison Park.
Kaoru Mitoma gave the Seagulls the lead with a composed finish after Moises Caicedo picked out the Japan winger on the edge of the penalty area.
The Toffees, who were fortunate not to fall further behind when teenager Evan Ferguson struck the outside of the post, were booed off at half-time.
But they fell apart completely after the restart as Brighton scored three goals in a remarkable six-minute spell early in the second half.
Ferguson, making his full Premier League debut, sidefooted Jeremy Sarmiento's low cross into the top corner before turning provider for Solly March to drill home the Seagulls' third.
Idrissa Gueye's atrocious backpass was then easily intercepted by Pascal Gross, who coolly beat Jordan Pickford with a chipped finish.
Demarai Gray converted a late penalty for Everton, but it was nothing more than a consolation on a miserable evening for the hosts and their supporters.
The final whistle was greeted by more boos from the home fans, who have seen their team win only one of their past 10 top-flight games.
Everton could drop into the Premier League's bottom three on Wednesday if other results go against them, while Brighton move back up to eighth.
More to follow.
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Everton
Squad number1Player namePickford
Squad number3Player namePatterson
Squad number30Player nameCoady
Squad number2Player nameTarkowski
Squad number19Player nameMykolenko
Squad number17Player nameIwobi
Squad number27Player nameGueye
Squad number26Player nameDavies
Squad number7Player nameMcNeil
Squad number9Player nameCalvert-Lewin
Squad number11Player nameGray
Squad number16Player nameDoucouré
Squad number20Player nameMaupay
Squad number23Player nameColeman
Squad number50Player nameSimms
Squad number60Player namePrice
Brighton & Hove Albion
Squad number1Player nameSánchez
Squad number34Player nameVeltman
Squad number5Player nameDunk
Squad number6Player nameColwill
Squad number30Player nameEstupiñán
Squad number25Player nameCaicedo
Squad number13Player nameGroß
Squad number7Player nameMarch
Squad number19Player nameSarmiento
Squad number22Player nameMitoma
Squad number28Player nameFerguson
Squad number2Player nameLamptey
Squad number10Player nameMac Allister
Squad number14Player nameLallana
Squad number20Player nameEnciso
Squad number49Player nameMoran
Line-ups
Everton
Formation 4-3-3
1Pickford
3Patterson30Coady2Tarkowski19Mykolenko
17Iwobi27Gueye26Davies
7McNeil9Calvert-Lewin11Gray
1Pickford3PattersonSubstituted forColemanat 63'minutes30Coady2Tarkowski19Mykolenko17IwobiBooked at 75mins27GueyeSubstituted forMaupayat 64'minutes26DaviesSubstituted forPriceat 58'minutesBooked at 74mins7McNeilSubstituted forDoucouréat 58'minutesBooked at 90mins9Calvert-LewinSubstituted forSimmsat 83'minutes11GraySubstitutes
13Mina15Begovic16Doucouré20Maupay22Godfrey23Coleman29Vinagre50Simms60PriceBrighton
Formation 4-2-3-1
1Sánchez
34Veltman5Dunk6Colwill30Estupiñán
25Caicedo13Groß
7March19Sarmiento22Mitoma
28Ferguson
1Sánchez34VeltmanSubstituted forLampteyat 71'minutes5Dunk6Colwill30Estupiñán25Caicedo13Groß7MarchSubstituted forMoranat 79'minutes19SarmientoSubstituted forMac Allisterat 62'minutes22MitomaSubstituted forLallanaat 78'minutes28FergusonBooked at 45minsSubstituted forEncisoat 71'minutesSubstitutes
2Lamptey10Mac Allister11Trossard14Lallana20Enciso23Steele27Gilmour29van Hecke49MoranLive Text
Match ends, Everton 1, Brighton and Hove Albion 4.
Second Half ends, Everton 1, Brighton and Hove Albion 4.
Foul by Julio Enciso (Brighton and Hove Albion).
Séamus Coleman (Everton) wins a free kick on the right wing.
Goal! Everton 1, Brighton and Hove Albion 4. Demarai Gray (Everton) converts the penalty with a right footed shot to the bottom left corner.
Penalty conceded by Robert Sánchez (Brighton and Hove Albion) after a foul in the penalty area.
Penalty Everton. Alex Iwobi draws a foul in the penalty area.
Abdoulaye Doucouré (Everton) is shown the yellow card for a bad foul.
Alexis Mac Allister (Brighton and Hove Albion) wins a free kick in the attacking half.
Foul by Abdoulaye Doucouré (Everton).
Attempt saved. Julio Enciso (Brighton and Hove Albion) left footed shot from the left side of the box is saved.
Attempt saved. Julio Enciso (Brighton and Hove Albion) left footed shot from outside the box is saved in the centre of the goal. Assisted by Moisés Caicedo.
Pervis Estupiñán (Brighton and Hove Albion) wins a free kick in the defensive half.
Foul by Demarai Gray (Everton).
Substitution, Everton. Ellis Simms replaces Dominic Calvert-Lewin.
Attempt missed. Tariq Lamptey (Brighton and Hove Albion) right footed shot from the right side of the box is close, but misses to the right. Assisted by Pascal Groß.
Attempt missed. Dominic Calvert-Lewin (Everton) right footed shot from outside the box misses to the left. Assisted by Alex Iwobi.
Substitution, Brighton and Hove Albion. Andrew Moran replaces Solly March.
Substitution, Brighton and Hove Albion. Adam Lallana replaces Kaoru Mitoma.
Attempt blocked. Solly March (Brighton and Hove Albion) left footed shot from the centre of the box is blocked. Assisted by Julio Enciso.
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