Chelsea, who had Gary Cahill leave the field in the 33rd minute with what appeared to be a hamstring injury, applied pressure after that but rarely threatened Kasper Schmeichel, who easily clawed away a free kick from Marcos Alonso in injury time.
Jonny Evans and Craig Dawson scored to secured a 2-0 win for West Bromwich Albion over Brighton & Hove Albion - their rirst victory in 21 league games.
Antonio Conte has no intention of quitting Chelsea and says it is up to the club whether he stays on as head coach.
Record-breaking Kane fires Tottenham past Everton
Having done so, he tried a shot which skewed across the six-yard area and perfectly into Son's path for an easy tap-in. Continued his fine form with another home goal and an assist to cap a lively, industrious display.
The 24-year-old is unlikely to be involved against Leicester this weekend but Conte has suggested that Barkley could make his debut for the club during their FA Cup replay with Norwich next week.
"Now I am fully committed for Chelsea, in this job to work with my players to try also to improve the club in the football aspect", Conte said.
"I saw many players were very exhausted and they didn't recover from the Arsenal game".
Jamie Vardy and his team-mates ran Chelsea ragged in the first half, though.
'Best defense' in National Football League opens playoffs with loud statement
As a whole, the Jaguars allowed the second-fewest points in the league and will look to use its elite defense against the Bills . They say the record for most seasons without making the the playoffs now belongs to the Seattle Mariners with sixteen seasons.
"At this moment maybe Leicester is the worst team for us to face", he added.
When looking to the bench, Conte did not have the players required to change the game despite Willian and Pedro coming on as Morata once again struggled and Cahill's injury took up one of their options.
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". We created chances to score.
"We know Chelsea are the champions".
Conte has called on his players to be more ruthless in front of goal and defender Antonio Rudiger agreed that enterprising build-up counts for nothing without a goal to show at the end of it.
Tom Hardy Talks 'Venom' From Brazil Comic-Con
So will the movie see Venom as an existing symbiote that the Life Foundation uses as the basis for its own horrifying monsters? It's unclear whether that means we'll get to see Venom swing into the MCU or pop up in some other Marvel/Sony film.
It is the first time in the Blues' entire history that they have been held to a goalless draw three times on the spin.