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Chelsea played out a goalless draw with Tottenham at Stamford Bridge on Sunday evening, as both sides were unable to break the opposing defence.
It was a game with very few chances, with Mason Mount testing goalkeeper Hugo Lloris late in the game.
Spurs boss Jose Mourinho had claimed after the game that his players were unhappy with a draw, despite playing to get a draw in the game.
Chilwell has now revealed that the Spurs players he spoke with admitted that a draw was a fair result.
“I spoke to a few of the Tottenham boys and we all felt it was pretty tight,” the Chelsea left-back said.
“It was on a bit of a knife-edge and needed a bit of brilliance from an individual to go and win the game.
“Mason’s strike might have done it but it was a great save. Both teams were tactically pretty good and, as much as we’d have liked to have won the game, it was important not to lose either.
“We’re happy with a clean sheet against a great strikeforce like theirs because we know how good they are. Kane and Son are very clinical going forward and the link-up play between them is very good so we’re happy with nullifying them both.”