The Blues were second best all afternoon and could not even find a way through an impressive Foxes side after Ben Chilwell had been sent off in the second half after picking up his second booking of the match.
Chelsea 0-0 Leicester City Chelsea endured a third successive goalless draw in an enthralling encounter against excellent 10-man Leicester.
They are now level on points with second-placed Manchester United, who play Stoke City on Monday, while Claude Puel's side have 31 points and remain in eighth spot. "We are not conceding, but we are not creating chances".
"For sure, everyone is frustrated after another 0-0", said Conte.
Took greater responsibility for monitoring Vardy and Shinji Okazaki when Gary Cahill left the pitch injured, and assuming the captain's role came easily to the Spain global.
"We played with tiredness today", Conte said.
Vardy failed to hit the target from unsafe positions twice in less than a minute, before Wilfred Ndidi's free header following a corner was parried brilliantly by Thibaut Courtois and Antonio Rudiger stopped Aleksandar Dragovic slotting home on the follow-up.
But what surprised and infuriated fans more is one decision of Antonio Conte in particular.
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.
The hosts were handed a boost when Chilwell was shown a second yellow card for catching Moses, but they found it hard to create openings as Leicester sat back.
Palace lost their first seven games of the season but are now five points clear of safety and Hodgson said: "We can look at the league table for a week or two without shivers running down our spine".
Abdoulaye Doucoure's controversial last-gasp equaliser denied Southampton a first win in 10 matches.
West Brom 2-0 Brighton and Hove Albion West Brom's long wait for a Premier League win finally ended as Brighton were beaten 2-0 at The Hawthorns.
Vardy has been in good form for Leicester so far this season, scoring nine goals and making one assist in 21 Premier League games ahead of the trip to Stamford Bridge on Saturday.
Jordan Ayew's header on the hour mark had given the basement side the lead, but that was cancelled out eight minutes later by Newcastle substitute Joselu's low finish.