Drogba’s current contract is set to expire at the end of the season and the striker has been linked with a move away from Stamford Bridge in recent months.
Drogba is reportedly keen on a new two-year contract while the club are keen for the striker to sign a 12-month extension.
“Talks have started,” Drogba told L’Equipe. “Everyone knows what I want.
“I am not afraid of the competition. I always had to face it here with Gudjohnsen and then Shevchenko.”