The Toffees were staring down the barrel at a fourth successive top-flight defeat when Alexander Isak put the Magpies in front on the 15-minute mark with a composed finish beyond Jordan Pickford.
However, Everton were handed a huge lifeline late in the second half when referee Tony Harrington pointed to the penalty spot following a review at the pitchside minior after Magpies defender Paul Dummett needlessly wrestled Ashley Young to the ground.
Dominic Calvert-Lewin was tasked with taking the resulting spot kick in the 88th minute, and the sheer pace and power of his strike from 12 yards prevented Martin Dubravka's outstretched right hand from stopping the ball arrowing into the top corner.
The Toffees striker celebrated his 22-game goal drought across all competitions coming to an end, and Sean Dyche's men eventually held on for what could prove to be a valuable point in their quest to avoid relegation.
Everton's winless run goes onHowever, Everton have now gone 13 games without a victory in the Premier League for the first time in their history, a run that includes seven defeats and six draws.
The last time the Toffees endured a winless streak of this length was between October and December 1957, while they have only ever experienced one longer winless run in their top-flight history — 14 games from March to September 1937.
Everton last celebrated success in the Premier League when they beat Burnley 2-0 at Turf Moor on December 16, before a 2-1 defeat at Tottenham Hotspur a week later began their 13-game winless streak.
Two defeats to Manchester City as well as losses
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