Cenk Tosun and Dominic Calvert-Lewin went really close to give the home side the lead, however the game ended in a goalless draw as both the teams shared a point each.
Without the attacking threat of Salah, Liverpool struggled to pose much danger in the final third as Sadio Mane, Solanke and Danny Ings - starting his first game in 916 days - all struggled to find room. Despite the late Everton pressure they didn't force the keeper into anything.
Nevertheless, it was the Reds who had the best opportunity early on - the ball fell to youngster Dominic Solanke, who could only direct his header straight at Jordan Pickford from eight yards out.
In the 23rd minute, Yannick Bolasie nearly gave Everton the lead as he cut in from the left only to see his curler tipped behind by Loris Karius in goal for Liverpool.
Wayne Rooney was replaced by the more defensively minded Idrissa Gana Gueye 10 minutes into the second half but it was not until the last 15 minutes that midtable Everton came alive.
A fine run from Leighton Baines brought a risky cross from the left but Tosun, so often bereft of service, failed to connect in the six-yard box.
"Everton have only won one of their last 22 league meetings with Liverpool - none in the last 14 - and it is hard to see how the Blues can stop the Reds given how poor Sam Allardyce's side were against City last weekend", Owen was quoted by Daily Star.