Former Italy manager Conte was tipped to overhaul the Blues squad this summer, but so far the club have only signed Michy Batshuayi and N’Golo Kante.
And according to the Daily Mirror, the 46-year-old stressed the need for further recruits in a meeting with Abramovich, director Marina Granovskaia and technical director Michael Emenalo.
The report states that a striker and centre-back remain a priority, with Chelsea understood to have seen two bids turned down for Real Madrid forward Alvaro Morata, while the Londoners continue to keep tabs on Everton’s Romelu Lukaku.
Juventus’ Leonardo Bonucci, Napoli’s Kalidou Koulibaly and Roma’s Kostas Manolas have all been eyed to bolster Conte’s options in the centre of defense, while Radja Nainggolan is still wanted in midfield.
However, there are doubts that Conte will be afforded the funds to make so many signings, despite his concerns that the club are being left behind by the likes of Manchester United and Manchester City.