Liverpool's Pedro Chirivella in action with West Ham's Angelo Ogbonna
They are under new management this season, with Cone taking charge after impressing with Italy at Euro 2016.
West Ham manager Slaven Bilic before the game
He will be keen to enjoy the kind of first year that Bilic had last year, with the Croatian proving a big success as he guided the Hammers to a seventh placed finish and European football in his first year in charge.
And Ogbonna, who worked under Conte with the national side, says the two are actually very similar.
“Slaven has a good sense of humour and passion- but he loses he’s so angry,” he told the Daily Star.
“Conte is just the same. When it comes to the most passionate manager I have played for they are very close.”
Chelsea manager Antonio Conte
It will now be interesting to see if the two clubs are close in the Premier League this season.
The Blues have a lot of work to do to improve on last season, with their title defence one of the worst in Premier League history to say the least.
West Ham are one of the teams they will have to bypass and it will make for fascinating how both teams fare.
Angelo Ogbonna celebrates scoring the second goal for West Ham