Even in the white heat of a Merseyside derby - and a knockout, winner-takes-all one, at that - the world's most expensive defender managed to attract attention.
Kevin Keegan, Michael Owen, Luis Suarez and Mohamed Salah are among those to have scored on their Liverpool debuts.
"It was for sure not the best piece of football for 95 minutes but a proper fight".
Alex Oxlade-Chamberlain's curling delivery was met by Van Dijk, who towered above Jagielka and powerfully headed home in front of the Kop with Everton goalkeeper Pickford partially at fault as he failed to punch clear.
"I think something like that is quite special", Klopp said.
GETTY Liverpool have already added Virgil van Dijk to their squad this January
It was a fine finish to a game that was otherwise low on quality, as Liverpool, clearly worn out from their Christmas travails, sank to the level of a tiresome Sam Allardyce Blues side, gifting a sloppy equalizer to Gylfi Sigurdsson after a first half penalty from James Milner had put Jurgen Klopp's team ahead.
Liverpool continued to carve out chances but were unable to provide the decisive touch and Everton hit them with an equaliser on the counter attack. After a flare-up on the touchline, Firmino reacted angrily to being pushed into an advertising hoarding and shouted something at Holgate.
Photo Referee Bobby Madley steps between Liverpool's Roberto Firmino, right, and Everton's Mason Holgate.
Fleetwood came closest to winning in stoppage time when Ashley Hunter's deflected shot from 25 metres hit the post, came off the face of Leicester keeper Eldin Jakupovic, then hit the upright again.
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