The Italian is widely expected to be drafted in as the Blues’ new permanent head coach, with owner Roman Abramovich thought to have already informed senior players of the looming change.
With Chelsea having been so poor this season and Conte likely to switch to a 3-5-2 formation, a major shake-up looks to be on the cards, but reports claim that a face-to-face meeting with Falcao is on the agenda, which may result him the player being told he has a future at Stamford Bridge.
The current Italy boss is thought to be a big fan of the 29-year-old, whom he attempted to sign at Juventus.
Falcao has endured a horrific 18 months in English football – he was on loan at Manchester United from Monaco last term – struggling to recapture the form that once made him one of the most feared strikers on the planet.
Another loan deal could be an option, while there is a clause in place allowing Chelsea to sign the hit-man permanently for £38.8m.
However, it would seem unlikely that the South American will kept on and he may move to China, where interest in him is strong.