James Rodriguez opened the scoring for the hosts against the run of play with a curling shot that hit the back of the net via the post, with Everton taking control of the first half from that moment.
The Foxes struck back in a dominant second half through Youri Tielemans' low driven shot, helped out by poor goalkeeping from Jordan Pickford.
Neither side could find the winning goal as the sides were forced to share the spoils come the final whistle.
Brendan Rodgers spoke to the media after the match and here are some of the highlights.
On his side's performance
"First half was a bit too precise trying to score the perfect goal. We said to open up the pitch, get crosses in, and we looked a really good side. I enjoyed watching us, we had a constant rhythm and showed great attacking spirit."
While Leicester started off the first half brightly, their attacking threat dwindled as the opening 45 minutes came to an end as Everton comfortably saw off the Foxes' attacks.
After Rodgers' half time team talk, Leicester looked a far more dangerous side as they showed more intent in the final third of the pitch and the inclusion of Cengiz Under meant that there was a directness on the right hand side of the pitch to match that of Harvey Barnes on the left.
It was far from the "perfect goal" that Leicester tried to create in the first half but they made the breakthrough via Tielemans' effort and they looked good value for that goal.
On his side's character to come from behind
"To come back against a team who showed us real respect, we showed great quality in the second half. Performance wise, I'm very pleased."
Much like the reverse fixture, Everton notched the first goal of the game and sat back, starved Leicester of any space and took their time with throw-ins, goal kicks and set pieces in a bid to slow the game down and deny the Foxes any sort of momentum.
This tactic worked at the King Power Stadium but Rodgers' side showed greater quality and character this time round and got the goal that they were hunting for despite the Toffees' move from a back four to a back five as the pressure mounted.
Leicester have often struggled against low blocks so the fact that they have shown that they are able to break down such a solid defensive unit will give Rodgers confidence going forwards, especially when Jamie Vardy returns from injury.
Leicester lost both Wilfred Ndidi and Jonny Evans to injuries during the match.
Ndidi was the first player to be substituted as the midfielder felt tightness in his hamstring, with Rodgers believing that it is no more serious than that.
Evans meanwhile came off in the second half as he had blurred vision in one eye, but Rodgers said: "We think he'll be ok".
Both players would be big misses to Leicester should they not be available as they next take on Leeds on the weekend, though Rodgers seems optimistic that the injuries do not seem serious.
On Ayoze Perez
"It's the responsibility for all players to score, not just him. He was unfortunate a couple of times it didn’t drop for him, he worked really hard."
Ayoze Perez has been deputising for Vardy in his absence and there has been pressure on him to also replace the forward's goals, but Rodgers believes there is more to his role than scoring goals.
Perez dropped deep throughout the match, allowing the likes of James Maddison, Barnes, Marc Albrighton and Under to run beyond him as he looked to drag out Everton's central defenders in order to create space.
The Spaniard showed good close control of the ball but lacked the presence and the guile that Vardy shows, as well as the outball as he did not play on the shoulder as he looked for the ball to feet.
It was not a game that suited Perez due to the sheer number and size of the bodies at the back for the hosts but Rodgers was still complementary of his performance.
On missing Jamie Vardy
"There's nobody in the world that offers the penetration that Jamie Vardy does. So you have to play in a different way and I thought we did that."
Leading on from the comments about Perez, Rodgers acknowledged that Vardy is a big miss for the Foxes.
Opposition teams set out differently against Leicester depending on whether the striker is playing, showing just how influential and dangerous he can be.
It has been up to the likes of Maddison, Barnes and Perez to make up for the missing presence in the attacking third and Rodgers has had to adapt the build up play in order to do so but as Leicester's unbeaten run continues without their number nine, it is clear that the Northern Irishman has found some success in doing so.