Failing to win against the Russians leaves hopes of comfortably qualifying from Group C in doubt.
It could have been a whole different story as substitute Jamie Vardy had a penalty saved on the 75th minute.
Amartey equalised just seven minutes later with a powerful header from close range.
Timothy Castagne had yet another 10/10 performance in a blue shirt, and almost every attack came from him on the right wing. The inter- play between him and fellow Belgian was something quite tremendous.
He made things happen, and so nearly had an assist to show for late on when his cross met Kiernan Dewsbury-Hall perfectly in the box, whose header was blocked on the line by his own team mate.
The Belgian international made of 87 passes out of 96 attempted, leaving him with a 91% pass accuracy.
If Brendan Rodgers had 11 Castagne's on the pitch every game, it's likely that his side would never lose a game again.
Daniel Amartey not only scored a brilliant header to draw his side level, but had a remarkable game defensively.
He has been good this season in that back three system, however he did get hooked at half-time against Arsenal last weekend. But that was only one bad game in a long run of games.
In the game against Moscow, he seemed to be a lot more confident in his play, carrying the ball forward, passing further down the line and even having a shot from outside of the box.
His passing, and turning over of play was exceptional, and it does really show the value of his place in a back three with Jonny Evans and Caglar Soyuncu.
It was just unfortunate that one real lapse in concentration in the defence has made the task of qualification a whole lot harder.
Not Leicester's night
In the end, the three points just wasn't meant to be. It wasn't Leicester's night. Sometimes you need a little bit of luck, and the Foxes had none of it, and haven't had much of it this season.
Probably the most unlucky moment of the night as late on where Kelechi Iheanacho got in the way of a Dewsbury-Hall header which was destined for goal.
Boubakary Soumare nearly opened the scoring in the first half, his sliced left footed strike ferociously hit the bar - and it's probably still shaking.
Leicester astonishingly had 77% of the ball, and Spartak had 11 players behind it every time. It's hard for any side to break down in open play, and it was an entirely different game to the one played a couple of weeks ago at the Otkrytie Bank Arena in Moscow.