Virgil van Dijk made a dream start to his Anfield career, scoring the winning goal on his debut for Liverpool, as they beat city rivals Everton 2-1.
The Dutchman, signed last week from Southampton for a reported fee of 75 million pounds ($101.7 million), rose inside the area to head home an Alex Oxlade-Chamberlain corner in the 84th minute of what had been a pulsating Merseyside derby.
Liverpool looked to have been frustrated after Gylfi Sigurdsson brought Everton level in the 67th minute after a brilliant counter-attack from Sam Allardyce's side.
The home side had taken the lead through a 35th minute penalty from James Milner after Everton defender Mason Holgate had pulled down Adam Lallana in the box.
Jesse Lingard scored his fourth goal in as many games and substitute Romelu Lukaku added a stoppage time effort as Manchester United reached the FA Cup fourth round with a 2-0 home win over Championship side Derby County.
Lingard, who scored a pair of fine goals in a 2-2 Premier League draw with Burnley followed by another in a 2-0 win at Everton, produced another exquisite finish as he unleashed a first-time shot from 18 metres in the 83rd minute.
Lingard hit the post several minutes earlier as Derby looked set to earn a reply after United had missed a string of chances, with Marcus Rashford also hitting the woodwork while visiting keeper Scott Carson produced a barrage of good saves.
Lukaku, who returned from a head injury and came on as a halftime substitute for Henrikh Mkhitaryan, broke away and powered his shot past Carson at the death as Derby threw men forward in search of an equaliser.
There are another 25 games tomorrow.