On Friday Conte had described Leicester as the "worst team" his worn out group of players could come up against this weekend, following their midweek Carabao Cup semi-final first leg, and Foxes boss Claude Puel was left ruing a missed opportunity to take all three points off the defending champions.
Antonio Conte's side had drawn 0-0 in two cup games before today's return to the league and were still unable to force a breakthrough after Leicester went down to 10 men when defender Ben Chilwell was booked twice in the second half.
The result represented the third goalless stalemate in the space of a week for the Blues, who were held both by Arsenal in the semi-finals of the EFL Cup in midweek and by Championship side Norwich City in the FA Cup last weekend.
And Chelsea would also be afraid of criticism from fans and local press by selling an important player in the middle of a season with Premier League and Champions League being played. Chilwell's red card caused the Foxes no real issues as Marcos Alonso's late free-kick was the only real effort of note in the second-half, his curling shot palmed away confidently by Schmeichel.
"I saw a lot of players very exhausted", Conte added.
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"We played with nearly the same players as against Arsenal". I thought that two games, after two-and-a-half days, for the same players was normal to recover. "I think a lot of our players were exhausted".
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"To face all competitions is not simple".
"It's basically become a five at the back whereas a year ago it was more of a three, and they can't get out".
Currently, Chelsea rely heavily on one system to beat teams - their 3-5-2. Conte maintains that the team struggles right now are not about tactics, but fatigue instead.
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"We didn't suffer defensively".
"But we haven't had great quality in our finishing. We have to try to improve on this aspect".
"If you don't score, you're lucky the game finishes 0-0".
Gary Cahill came off in the 33rd minute for Chelsea with an apparent hamstring injury.
The Algeria winger has been linked with Arsenal and Liverpool, but Puel said: "We can see he is enjoying his football, he is happy in playing, in training, he is happy with us and his team-mates".
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