Jamie Vardy and Leicester have been in good form (Adam Davy/PA) Despite both teams' presence in the bottom half of the Premier League table, had either won, they would have had a record of six league victories from their last seven games. That, though, was were the similarities ended for the home side during the first half.
It was in this fixture last season that Leicester convinced many of their doubters that they really could hold off the challenge of Tottenham Hotspur and claim their first top-flight title.
But Allardyce was upset with the manner of Robert Huth's goal.
It was a bitter defeat for the English champions as the spot-kick was awarded for a Marc Albrighton tackle on Griezmann that took place outside the penalty area. Huth simply rose above Joel Ward and directed his header beyond Wayne Hennessey. Huth blocked smartly from Wilfried Zaha and Andros Townsend, while Christian Benteke drew a save from Kasper Schmeichel after collecting Ward's centre on his chest.
"That's the rule and we've got to get rid of that because a 14-year-old shouldn't be bought from Crystal Palace by Manchester City or Chelsea because they're just overloading, right?"
Then, after working his way into the box, the Leicester striker cut inside and placed a left-footed shot wide of Hennessey that the keeper could only parry into the net.
The game had fired into life and the home side worked their way back onto level terms in the 70th minute when Benteke climbed above Yohan Benalouane to head home Townsend's cross. Another game gone and it is precious because it keeps our run going.
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A chance of a fourth consecutive home victory may have been passed up against Leicester City, but the point salvaged by the home side from two goals down has moved them closer to safety as those below continue to stumble.
"I'm pleased with Benteke, with his game coming on and the goals coming back", Allardyce said.
Leicester manager Craig Shakespeare: "There is a tinge of disappointment, especially when you go two up away from home".
Again Palace did not lose belief, and within two minutes scored their first goal.
"We could have seen it out if we'd stayed in the lead a bit longer, but they asked a lot of questions of us with their aerial threat".
After the match, Allardyce spoke to Sky Sports about how important the point is: "It's a tremendous point for us". I've looked at the equaliser and I've seen free-kicks given.