Chelsea have already had a fruitful transfer window, spending over £100million on fresh faces.
The Blues acted quickly to secure the signatures of Antonio Rudiger and Willy Caballero earlier in the window, before a slight lull.
But in the last month Chelsea have also tied up deals for Tiemoue Bakayoko and Alvaro Morata, who have arrived from Monaco and Real Madrid respectively.
However, despite their free spending, Conte wants more signings as he aims to steer the Blues to the Premier League title for the second season in a row.
And the Mirror claim Oxlade-Chamberlain and Barkley are high on the Blues’ transfer wish list.
It is said they will make a move for Arsenal star Oxlade-Chamberlain next month.
The winger’s current deal at the Emirates expires next year and he could leave the club if they fail to come to an agreement.
Barkley, meanwhile, is ale on their radar.
Everton manager Ronald Koeman, speaking yesterday, confirmed the England international wanted to quit Goodison Park to pursue a new challenge elsewhere.
“Yes, 100 per cent. I knew this already from the end of last season,” Koeman said when asked about Barkley wanting to leave.
“We made a really good offer to him to sign a new contract, he declined that contract and told me that he is looking for a new challenge.”
Chelsea are said to be among a host of clubs – though to be Manchester United – who are waiting for the Toffees to lower their £50million asking price for Barkley.
