Charlton goalkeeper Thomas Myhre admitted he had been lucky after his clean sheet at Anfield was preserved thanks to an offside flag.
Robbie Fowler looked to have snatched a late winner for Liverpool when he controlled Steven Gerrard’s miscued shot and drove the ball through Myhre’s legs in the 90th minute.
But the goal was ruled out for a debatable offside against Fowler’s team-mate Djibril Cisse.
“I was quite relieved. Robbie’s very good in those situations and it went through my legs. I think we probably had a little bit of luck,” Myhre said on Sky Prem Plus.
The goalless draw pushed Liverpool up to second place in the Premiership, but it was not a result they welcomed, as their one-point lead over Manchester United looks particularly vulnerable, given the Red Devils have two games in hand.
“We knew it was going to be tough against the champions of Europe on their home ground but we’re happy to come away with something,” said Myhre, named man of the match.
“I’m pleased with my own performance but most delighted the team are picking up points.”
Liverpool boss Rafael Benitez refused to blame the assistant referee for the failure to pick up three points.
“For me it’s more important the team create chances and you have a lot of them,” he said.
“It’s not a problem of one mistake. If we are playing well and creating chances as a manager you must be happy.
“I don’t want to blame the officials. For me the most important thing is to score goals with the number of opportunities we are creating.
“It is very common here for the (opposition) goalkeeper to be man of the match.”
Benitez was quick to play down the significance of Liverpool going second, stressing: “That’s not the most important thing.
“The most important thing is the team are playing well. You know that we will score goals, for sure.”
Charlton boss Alan Curbishley said: ``It's a great result for us.
“To come here, and with the form Liverpool are in as well, and get a point - we are delighted,” he said on Sky Prem Plus.
“Liverpool had the majority of the game but sometimes you have to come here and dig in and we did that today.”
Curbishley hailed the performance of Myhre, adding: “When you play the top four away you need your goalkeeper to get 11 out of 10 – and that’s what Thomas has done for us today
“He made some great saves and showed a bit of composure and gave us belief that we could pick something up here.”