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By Michael BeardmoreBBC Sport
Trent Alexander-Arnold, making a first league start in more than two months, curled a fabulous first-half free-kick into the top corner to put them ahead.
Timothy Castagne steered Fulham level before the break but Ryan Gravenberch's perfectly-measured 20-yard effort flew in off the post to restore the Reds' advantage.
Diogo Jota sealed the points with an accurate low finish past Bernd Leno from Cody Gakpo's through ball and the margin of victory could arguably have been greater.
Regardless, it was an accomplished and largely trouble-free display from Liverpool that will reassure boss Jurgen Klopp they could yet end his nine-year reign with a second Premier League crown.
Dropped points in a draw at Manchester United and a shock Anfield defeat by Crystal Palace - with a disappointing Europa League exit to Atalanta sandwiched in between - had threatened to derail hopes of further trophies to add to the Carabao Cup they have already collected this season.
But victory at Craven Cottage lifts Liverpool back up to second in the table, level on points with leaders Arsenal who have a superior goal difference and a point above third-placed Manchester City, who have a game in hand.
More to follow.
Rate players out of 10 throughout or after the game.
The rater will close 30 minutes after the final whistle.
Rating range key1 = Give it up10 = Pure perfection
FulhamFulhamFulhamLiverpoolLiverpoolLiverpoolFulham
Starting XI
Avg
Squad number17Player nameLeno
Average rating
5.55
12345678910
Squad number21Player nameCastagne
Average rating
5.59
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Squad number4Player nameTosin
Average rating
5.44
12345678910
Squad number3Player nameBassey
Average rating
5.31
12345678910
Squad number33Player nameRobinson
Average rating
5.37
12345678910
Squad number26Player nameJoão Palhinha
Average rating
5.64
12345678910
Squad number28Player nameLukic
Average rating
5.43
12345678910
Squad number22Player nameIwobi
Average rating
5.59
12345678910
Squad number18Player nameAndreas Pereira
Average rating
5.44
12345678910
Squad number14Player nameDe Cordova-Reid
Average rating
5.48
12345678910
Squad number19Player nameRodrigo Muniz
Average rating
5.59
12345678910
Substitutes
Avg
Squad number8Player nameWilson
Average rating
5.71
12345678910
Squad number10Player nameCairney
Average rating
5.30
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Squad number11Player nameTraoré
Average rating
5.80
12345678910Liverpool
Starting XI
AvgSquad number1Player nameAlissonAverage rating
6.75
12345678910Squad number66Player nameAlexander-ArnoldAverage rating
7.38
12345678910Squad number78Player nameQuansahAverage rating
6.76
12345678910Squad number4Player namevan DijkAverage rating
6.98
12345678910Squad number26Player nameRobertsonAverage rating
7.14
12345678910Squad number19Player nameElliottAverage rating
6.84
12345678910Squad number3Player nameEndoAverage rating
6.75
12345678910Squad number38Player nameGravenberchAverage rating
6.75
12345678910Squad number7Player nameDíazAverage rating
6.94
12345678910Squad number20Player nameDiogo JotaAverage rating
6.93
12345678910Squad number18Player nameGakpoAverage rating
7.48
12345678910
Substitutes
AvgSquad number2Player nameGomezAverage rating
7.69
12345678910Squad number8Player nameSzoboszlaiAverage rating
7.32
12345678910Squad number9Player nameNúñezAverage rating
7.35
12345678910Squad number10Player nameMac AllisterAverage rating
7.97
12345678910Squad number11Player nameMohamed SalahAverage rating
7.65
12345678910Line-upsMatch StatsLive TextLine-upsFulham
Formation 4-2-3-1
17Leno
21Castagne4Tosin3Bassey33Robinson
26João Palhinha28Lukic
22Iwobi18Pereira14De Cordova-Reid
19Muniz Carvalho
17Leno21CastagneBooked at 79mins4TosinBooked at 39mins3Bassey33Robinson26João PalhinhaBooked at 30minsSubstituted forCairneyat 71'minutes28Lukic22IwobiSubstituted forTraoréat 85'minutes18Pereira14De Cordova-ReidSubstituted forWilsonat 71'minutes19Muniz CarvalhoSubstitutes1Rodák2Tete6Reed7Jiménez8Wilson9Broja10Cairney11Traoré13ReamLiverpool
Formation 4-3-3
1Alisson
66Alexander-Arnold78Quansah4van Dijk26Robertson
19Elliott3Endo38Gravenberch
7Díaz20Jota18Gakpo
1Alisson66Alexander-ArnoldSubstituted forGomezat 80'minutes78Quansah4van Dijk26Robertson19Elliott3Endo38GravenberchSubstituted forMac Allisterat 74'minutes7DíazSubstituted forSalahat 74'minutes20JotaSubstituted forNúñezat 74'minutes18GakpoSubstituted forSzoboszlaiat 86'minutesSubstitutes2Gomez5Konaté8Szoboszlai9Núñez10Mac Allister11Salah17Jones21Tsimikas62KelleherReferee:Craig PawsonLive TextPost update
Match ends, Fulham 1, Liverpool 3.
Full Time
Second Half ends, Fulham 1, Liverpool 3.
Attempt saved.
Harry Wilson (Fulham) header from the left side of the box is saved in the top right corner.
Tom Cairney (Fulham) left footed shot from outside the box is saved in the bottom right corner.
Sasa Lukic (Fulham) left footed shot from the centre of the box is too high.
Assisted by Tom Cairney.
Hand ball by Harvey Elliott (Liverpool).
Foul by Darwin Núñez (Liverpool).
Calvin Bassey (Fulham) wins a free kick in the defensive half.
Substitution, Liverpool.
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