The Merseyside derby ends goalless, mainly down to an excellent display in goal by Pickford and the woodwork after Davies hit the post for Everton.
Before, Darwin Nunez and Luis Diaz were denied by the goalframe later in the first half.
Everton thought they’d gone ahead on 69 minutes after Coady turned the ball home from close range,
But VAR ruled it out as the defender had narrowly strayed into an offside position.
The chances then kept coming for both sides, with Jordan Pickford pulling off excellent saves to deny Firmino on three occasions, who did well after coming off the bench.
Meanwhile, Neal Maupay and Dwight McNeil had good chances at the other end.
But Alisson Becker was alert to prevent an Everton goal.
Mohamed Salah should have won it in stoppage time.
But Jordan Pickford was there again to tip it onto the post, finishing 0-0.
Starting lineup:
EVERTON (4-3-3): Jordan Pickford;
Nathan Patterson, Conor Coady, James Tarkowski, Vitaliy Mykolenko;
Tom Davies, Amadou Onana, Alex Iwobi;
Demari Gray, Anthony Gordon, Neal Maupay.
EVERTON SUBS: Michael Keane, Allan, Dwight McNeil, Asmir Begovic, Seamus Coleman, Idrissa Gueye, Ruben Vinagre, Salomon Rondon, Stanley Mills.
LIVERPOOL (4-3-3): Alisson;
Trent Alexander-Arnold, Joe Gomez, Virgil Van Dijk, Konstantinos Tsimikas;
Harvey Elliott, Fabinho, Fabio Carvalho;
Mohamed Salah, Darwin Nunez, Luiz Diaz.
LIVERPOOL SUBS: James Milner, Roberto Firmino, Adrian, Diogo Jota, Andrew Robertson, Arthur Melo, Joel Matip, Stefan Bajcetic, Nat Phillips.
So, what’s next?
Everton Football Club has now drawn their last four Premier League games.
And next up for them is a trip to Arsenal as they look for their first win of the season.
Meanwhile, Liverpool FC will turn their attention to the Champions League midweek as they face Napoli before the Wolves at the weekend in the league.
