It was a game of two halves, as Mauricio Pochettino's side were much the better team in the first half and were very unlucky to not go in at half-time with the lead.
In the second half though, it was much different as a tactical change changed things and Hugo Lloris had to be on top form to stop the hosts from scoring.
Overall it's not a bad point for either team, who still have lots to play for after the third matchday.
Spurs dominant throughout the first half
Despite a fairly even start to the game from both teams, Spurs really began to take control of the game midway through the half and were unlucky to not be in front at half-time.
Firstly, a brilliant cross from Kieran Tripper found Dele Alli unmarked in the box but the midfielder put his header wide of the goal when he should have hit the target.
From there, the visitors continued to press forward and another fantastic cross from Tripper found Vincent Janssen in the box.
Unfortunately for the striker though he saw his header come back off the bar and then from the follow-up, Erik Lamela saw his goalbound shot well saved by Bernd Leno.
It was very interesting through the half to see the tactics from both sides, who were using the high-pressure tactic which, during the first period, Spurs showed everyone how to combat it and take control of the game.
The hosts had a couple of flashes of life during the half but were limited as they started to become very frustrated things wore on.
Tactical change changed things for the hosts
Roger Schmidt made a tactical substitution at half-time when he brought on Julian Baumgartlinger to replaced Hakan Calhanoglu, who was very poor in the first half and it started to work straight away as the home side made a much better start to the second half and bar an unbelievable save from Hugo Lloris, Javier Hernandez would have given them the lead five minutes in.
The chance was created by Lars Bender, who got himself free in the box. He played a good cross across the goal and just it looked like Hernandez was tapping the ball home to score, Lloris somehow stopped the ball from going over the line.
Lloris the hero for the visitors
From there, the hosts continued to press even more but found Lloris hard to beat as he had to make two saves from long range to keep his side on level terms.
Schmidt's side continued to press hard but found a very resolute Spurs defence as they have been all season in front of them and as they started to tire the visitors found it much easier to to stop attacks much better.
It meant that after three games in the group, Leverkusen got their third consecutive draw in the group while Spurs sit on four points.