The England global looked set for a switch to Chelsea on last week's transfer deadline day only for the deal to collapse at the eleventh hour.
However, the Daily Star believe that Tottenham will look to agree a cut-price deal with Everton in January to sign Barkley, as the England global will have just six months remaining on his contract with the Toffees.
By the new year, Barkley will be free to discuss terms on either a January move or a pre-contract agreement with any club, as he will only have six months of his current deal at Goodison Park remaining.More news: Russian rouble falls after North Korean nuclear test
It was understood that Spurs failed to make a bid for the attacking midfielder throughout the summer transfer window.
The Toffees midfielder was involved in one of the more peculiar deadline day stories when it was rumoured that he had decided against a move to Stamford Bridge halfway through his medical with the Premier League champions.
Hughes adds that Barkley's decision to turn Chelse down was "at least partially influenced by his failure to speak to Conte".More news: Sensex Falls 190 Points On North Korea Tensions, Nifty Holds 9900
'He wanted to say: "Look, where am I going to play", and Conte turned his phone off.
"He thought, "well, if the manager isn't answering the phone to me he clearly doesn't want me", and that is why he went back to Everton".
Ross Barkley turned down Chelsea on deadline day.More news: Airtel's plan to take on Reliance Jio starts at Rs 8
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