Chelsea representative Fali Ramadani met with Juventus sporting director Fabio Paratici on Wednesday to discuss a deal for centre-back Daniele Rugani, Goal understands.
The talks in Milan are understood to have gone well, with the 23-year-old defender nearing a move to Stamford Bridge.
Chelsea are thought to be offering €40 million (£36m/$47m) for Rugani's services, while Juventus are holding out for €50m (£45m/$58m).
The two sides should be able to find a compromise over that €10m gap, especially if Chelesa were to offer add-ons to bolster their €40m offer.
The Blues are set to offer Rugani a contract worth €4.