The Blues are looking to sign homegrown players before next Thursday’s deadline to help with their quota.
Antonio Conte needs to bolster his midfield following the £40million departure of Nemanja Matic to Manchester United.
And Leicester ace Drinkwater has been identified as a key target, which would reunite him with N’Golo Kante.
Meanwhile, Arsenal’s Oxlade-Chamberlain would offer versatility, while Everton’s Barkley is seen as a long-term project.
According to The Telegraph, Chelsea ideally want to complete deals for all three before the window shuts.