Conte has a reputation for his passionate behaviour off the pitch and wants his star striker to be just as fired up on it.
Costa has caused plenty of controversy with his in-your-face playing style since he first joined Chelsea two years ago.
But after fighting off attempts by Atletico Madrid to re-sign him this summer, Conte has told Costa to carry on winding people up.
The Italian said: “I like the spirit of Diego. He always shows a great passion. I am the same. He doesn’t want to lose. I like this passion. I want this passion in the team.
“It is important to have this passion for your work, for football. It helps you to overcome difficulty. I demand this from him.”