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Mohamed Salah's penalty in the fifth and final minute of added time saw Liverpool produce yet more late heroics to snatch a hard-earned 1-0 victory at Burnley.
Their three previous wins had been decided by goals in the 83rd minute or later and that pattern continued at Turf Moor to deny the home side a deserved point.
Head coach Arne Slot said he would be involved for Wednesday's Champions League match at home to Atletico Madrid, but his predatory instincts would not have gone amiss against stubborn opposition who built a successful promotion campaign on not conceding goals.
Salah, after missing his two previous attempts from the spot, moved past Andy Cole into fourth on the all-time Premier League goal-scorers list with 188, while also becoming Liverpool's record league penalty scorer with 35, surpassing Billy Liddell.
Burnley's Lesley Ugochukwu (kneeling) is shown a red card by referee Michael Oliver
Centre-back Ibrahima Konate headed over from close range and Hugo Ekitike flicked a shot wide of the far post from a narrow angle having skipped past Josh Laurent, but the one shot on target they managed came from Andy Robertson soon after he had replaced Milos Kerkez just before the interval.
Defensive resilience is nothing new for Scott Parker's side, who conceded only 16 goals on their way to winning promotion, but the level of concentration and organisation required against the Premier League champions was altogether higher.
Prior to that Ryan Gravenberch had volleyed over and Florian Wirtz's fast feet in a crowded penalty area opened space for him to squeeze a shot wide, while afterwards Robertson headed wide, as did Federico Chiesa with his first touch after replacing Ekitike.