It marks the third scoreless draw in only four games for Liverpool, and many fans will be wondering if this team is really ready to take on this title challenge. It feels like there's more gears to go into.
"I'm completely fine with chasing [City]".
"We didn't give them a chance to create anything and in the second half we should have had more chances to score".
At Fulham, First-half goals from Gonzalo Higuain and Jorginho earned Chelsea a 2-1 win over struggling Fulham in an entertaining southwest London derby but they had to work hard for the points.
"If United had played like they have been, with the same players, it would have been a different game".
These are the days that can define the title race, and Liverpool lacked a leader, an inspiration to overcome a resolute, well-organised Everton side.
They also head into the final straight just one point adrift of a City team that is attempting to win an unprecedented quadruple.
Everton kept Liverpool at bay as it ended 0-0 and Van Dijk makes no bones about the fact that the Reds, who now finish the weekend in second, are disappointed.
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Jurgen Klopp's men now trail champions Manchester City by a point at the top of the Premier League with nine games remaining.
A delighted Javi Gracia saw his side move level on points with Wolves in seventh for what could be a Europa League place depending on who wins the FA Cup.
Liverpool, however, need Mohamed Salah to rediscover at least some of the form he showed last season in this run-in and it was unusual to see a side so accomplished wasting possession so often.
"If Liverpool are going to win this league, it's having Van Dijk and having the best defensive record in the Premier League".
"Sometimes you have the lead and people say it's done when there are 20 games to go to the end of the season, and now they have one or two more points than us".
"The wind does not help and there was a lot today". I don't think they had a real chance. "We will fight for every last ball until the whistle is blown at the end of the season".
"Not ideal but good enough - getting a point from Everton is always a success because it is our most hard away game of the season".