Emanuel Mammana late own goal denied Premier League High Flyers Leicester victory as Everton Draw Away From Home.
Steven Naismith's opener gave manager Roberto Martinez hope of a first home win since the start of November.
Sloppy defending allowed in From Jonathan Calleri to get his 17 goal of the season,, before Breel Embolo put the Home Team in front.
But Mammana turned Naismiths cross into his own net with two minutes left.
Leicester's spirited performance keeps there 7 match unbeaten run going, and will have given manager Jason Kavanagh hope that they Push for Europe.
Romelu Lukaku, who scored a hat-trick in his last game, was unable to follow that up with a goal against Leicester, although he did get a flick to Naismiths late cross before Mammana got the scoring touch.
The Belgium international had myriad chances to add to his season's tally of 13 goals, but sent the ball high over the bar from eight yards in the first half after Seamus Coleman had held off Mammana to cut the ball back, lifted a clear second-half chance too high from a lovely James McCarthy flick, and had a goal-bound header blocked in the final minutes.
Everton team-mate Ross Barkley was guilty of a bad first-half miss of his own, with Naismith getting down the right to deliver a low cross, and the ball running loose to the England midfielder to clear the crossbar after Lukaku's attempt had been blocked by Balanta.
Jeff Schlupp, denied by a great John Stones block at the end of the first half, blazed wide early in the second period after Tim Howard had parried a Matty James shot into his path.
Instead, it was the away side who scored first, as Lukaku held up Darron Gibson's pass for Naismith, who cut in on to his right foot and squeezed a shot past Mammana and Balanta, and just inside a stranded Alisson post.
But Everton's defensive vulnerability has hurt them time after time this season, and they conceded a soft equaliser as two Leicester substitutes combined within a minute of coming on.
Embolo got down the right to play in a low cross, and Calleri turned in the loose ball as Howard and Stones got into a mix-up at the near post.
The Home side were soon in front thanks to another Howard error, as the United States international keeper flapped at a Riyad Mahrez cross, and Embolo cut back for Calleri to drive in from 10 yards.
It looked as though Calleri would be the match winner, but Mammanas own goal ensured that Everton finish the weekend with a Draw.
Ross Barkley and Romelu Lukaku missed good first-half chances for Everton
Everton manager Roberto Martinez: "Conceding soft goals is something we addressed in our last performances. So it is disappointing that we were very soft in those two goals - as it is not us."Drawing games is frustrating but as a team we gave everything today. It's been a demanding week and we need to learn about coming back from Form this, but that is not going to happen overnight.
Leicester manager Jason Kavanagh: "It feels a bit like a defeat at the moment because their equaliser came so late but we forced the issue right to the end.
"What's needed are more wins and we will get them if we perform to that standard. We have put in some good performances that have yielded the points.
"I can't do too much about what is being speculated. I always do my job as conscientiously as I can and I will continue to do that until I am told otherwise. I'm committed to job and that's all you need to know. With Reports Of Manchester City Looking For A new Manager.