The 18-year-old winger was eager to leave the Stamford Bridge in January as he handed in a transfer request when the German giants made an attempt to sign him.
But Chelsea rejected Bayern's first £35 million offer and the Bundesliga champions seem not to end their pursuit for the pacey winger as they are set to test Chelsea's resolve once again.
According to the report, Chelsea’s new manager Frank Lampard who replaced departed Italian trainer Maurizio Sarri to Juventus last month disclosed he is yet to have a talk with the player to convince him to remain with the side.
And the last season’s Europa League winners are said to have presented a new contract worth about £100,000-a-week to the player so they do not lose him for free on the Bosman Ruling in 2020 if the youngster does not extend his deal, having just a year left on his current contract.
Chelsea, who lost their playmaker Eden Hazard to Real Madrid this summer is reluctant to lose another prospect in their squad having been slapped with a two-window transfer ban by FIFA.
Hudson-Odoi made ten appearances for Chelsea in the 2018/19 Premier League season as he scored four times in nine Europa League games.
With the departure of Hazard, Hudson-Odoi could have a change of mind and remain with the Blues as he could have more first team opportunities which he has been angling for.