After 14 matches in 46 days, the Blues are feeling the strain.
"We suffered a lot in the first half and at the start of the second half". We did this. In the FA Cup we played with one team, in the Carabao Cup we played another team, and today we played nearly the same team as Wednesday. I saw a lot of players who were very exhausted.
Puel's men had 12 attempts on Chelsea's goal in the first half, the most for an opposition team in opening 45 minutes of football in the Premier League for 15 years. For all their possession however, they failed to truly test Schmeichel, who was well protected by a defence led by the impressive Harry Maguire.
On Alvaro Morata failure to find the back of the net, Conte told the BBC: "I don't think it is only Morata's problem, also the other players, because we are not scoring goals, we are not conceding, but we are not creating chances".
In the 58th minute, with the scores level at 0-0, Conte strangely made a decision to replace Eden Hazard and Cesc Fabregas.
Chelsea's fourth successive draw in all competitions could see them slip to fourth by the end of the weekend, while Leicester will take heart from a thoroughly-deserved point at Stamford Bridge.
Ndidi should have scored the opener for the away side on the 20th minute mark of the game but a good save for Thibaut Courtois denied the Nigerian intentional.
In search of some inspiration and innovation, Conte switched to a 3-4-3 formation when he withdrew Fabregas and Hazard, sending wingers Pedro and Willian onto the field.
Defender Ben Chilwell received two yellow cards in the space of five second-half minutes, and was shown no mercy by the referee when he brought down Moses in the 68th minute.
The Leicester boss was unable to give a specific timeline on the pair, meaning it is highly unlikely that they will feature in Tuesday's FA Cup replay against Fleetwood.