Cenk Tosun's header narrowly missed the inside of the post and sliding team-mate Seamus Coleman, before Dominic Calvert-Lewin curled over in the final few minutes of Saturday's early Premier league match.
At the end, both teams could only make do with a share of the spoils.
Liverpool's Loris Karius produced a fine fingertip save when Yannick Bolasie fired in a curling strike from outside the box, with Dejan Lovren heading the corner clear. "All I know is that, this weekend, they will be motivated to the highest level".
You've got 10 minutes, and as a hint we've given you how many goals each player as scored, and which club they scored them for.
"I was just happy to keep a clean sheet and get my fingertips to the shot (from Bolasie)". "It was tough conditions for us keepers".
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Everton defenders Leighton Baines, Michael Keane and Phil Jagielka will be pleased to have kept a clean sheet in front of the global coach, albeit against weakened opposition and not completely assured in their work.
"I make the decisions and I thought we did the right thing to make those changes to give us a better chance", he said.
It means that, if his team are to be in the Champions League next season, their best hope would be to finish in the Premier League's top four.
While Liverpool may have only whisked away 1 point from the encounter, Wijnaldum will take a lot of confidence from the game, and that can only be good news for the red side of Merseyside.
He'll need to be careful not to give the ball away in unsafe areas, as Pep Guardiola's side could punish Liverpool and will no doubt be more clinical than they were in the first leg.