The London based club reportedly want to tie down their star striker for the long term following speculations of an interest from former club, Atletico Madrid
The Italian manager is keen to add more steel to the midfield as Chelsea look to build on their good start.
Chelsea are set to overhaul their squad in the summer transfer window after a disastrous season that saw them finish 10th in the English Premier League.
The Italian manager, who has been widely reported to be the front runner for the Chelsea manager's job next season, is set to have one final and decisive meeting with Blues owner Roman Abramovich next week in Monte Carlo.
Chelsea owner Roman Abramovich has reportedly told the squad that their next manager will be former Juventus manager and current Italian national coach Antonio Conte.
In news that is sure to excite Chelsea FC fans, reports in Spain suggested on Monday that Diego Simeone has made the decision to leave current employers Atlético Madrid this summer and make the move to Stamford Bridge.
Juventus manager Massimiliano Allegri has been tipped to take over the hotseat at Chelsea FC in the summer by former coach and mentor Giovanni Galeone, who rates him as one of the top five coaches in the world.
Chelsea FC captain John Terry reiterated his desire to stay at Stamford Bridge beyond this season following the Blues' 1-1 draw against Manchester United, but revealed that there has been no communication with the club regarding a new contract.
As Chelsea hold an emergency meeting on Wednesdat to brainstorm on how to deal with the club's current situation, the possibility of saying goodbye to Jose Mourinho will definitely be brought up.
Premier League champions Chelsea FC have submitted a planning application for the redevelopment of Stamford Bridge to a 60,000-capacity stadium to the Hammersmith and Fulham council