The French side are upset at how slow Antonio Conte's side have moved and want to sell the midfielder as soon as possible.
And Jose Mourinho's side look set to step in if they can't get a deal done for Nemanja Matic.
James Rodriguez wants to finalise his move away from Real Madrid within the next 48 hours to ensure he doesn’t have to travel to the United States on Tuesday for the club’s pre-season tour, reports AS .
The Colombia international wants to be playing regular first-team football next season and the impending arrival of Dani Ceballos from Real Betis will limit his opportunities further.
Madrid president Florentino Perez wants €70 million for James and has reportedly already offered him to Chelsea as part of a double deal involving Alvaro Morata. Manchester United and Paris Saint-Germain have also shown an interest in James.
Real Madrid president Florentino Perez has offered Chelsea the chance to sign Alvaro Morata and James Rodriguez for a combined €150 million, claims Diario Gol .
Perez is keen to free up funds, and space in the first-team squad, to secure a deal for Monaco striker Kylian Mbappe, and is prepared to sell Morata and James.
Morata has emerged as a leading target for Chelsea following Romelu Lukaku’s decision to join Manchester United, who had previously been interested in the Spain international, but had baulked at Madrid’s €90 million asking price.
Now, in an attempt to offload both Morata and Colombian playmaker James, Perez has contacted Chelsea to offer the pair as a package.
Antonio Rudiger's move from Roma to Chelsea is nearing, with agents involved in the deal arriving in London to finalise the transfer, according to Sky Sports .
The two clubs have agreed a fee that could rise to £34m for the German international defender, whose move could be finalised in the next 24-48 hours.
Southampton are hoping to win the race to sign Chelsea midfielder Ruben Loftus-Cheek on a season-long loan, reports the Mirror .
Loftus-Cheek is keen to be playing regular football next season and Southampton are confident of seeing off Brighton and Newcastle to secure a deal.
Chelsea will table a big-money bid for Torino striker Andrea Belotti if they miss out on Romelu Lukaku to Manchester United, claims the Daily Mirror .
Both sides have had a £75 million offer accepted for the Belgium international, but the Blues are putting contingency plans in place.
Antonio Conte is focusing his efforts on Mexico international Javier "Chicharito" Hernandez, according to The Sun .
The Chelsea boss looks set to miss out on Romelu Lukaku despite a last-minute Blues bid, and is now considering a move for the £13.5m-rated Mexico international.
Diego Costa is willing to have showdown talks with Antonio Conte with an eye on returning to Chelsea, according to The Sun .
The striker's preferred move to Atletico Madrid is not possible, and with Romelu Lukaku not going to Stamford Bridge Costa could return to the Blues.
Chelsea's failure to land their top transfer targets this summer has left Antonio Conte's position with the club in doubt, according to the Mirror .
With Romelu Lukaku looking set to join Manchester United, the club having failed to land Alexis Sanchez and Virgil van Dijk and stuggling to sign Alex Sandro and Tiemoue Bakayoko, the Italian's frustrations have grown.
The manager is now reportedly "fuming" at club officials for letting the Everton striker get away and facing a crisis up front ahead of the new season having seen his top target join a major rival.
Chelsea are prepared to table "a significant bid" for Real Madrid midfielder James Rodriguez, reports AS .
The Colombian is expected to be on the move this summer, with the likes of Manchester United and Paris Saint-Germain among his many admirers.
Chelsea have tabled a £22 million bid for Real Madrid defender Danilo, according to Don Balon .
The Brazil international has been heavily linked with a move to Juventus, but the Blues have now entered the chase for the right-back.
Newcastle United are keen on signing Chelsea midfielder Ruben Loftus-Cheek, according to The Times .
The Magpies are set to face competition from fellow newly-promoted side Brighton & Hove Albion for the England under-21 international.
Watford are closing in on a move for Chelsea midfielder Nathaniel Chalobah, according to the Daily Mirror .
The England under-21 international has failed to get the assurances he needs from Blues boss Antonio Conte and is set to move to Vicarage Road for a fee in the region of £5 million plus add-ons.
Atletico Madrid's bid to land Diego Costa may be contingent on whether they can loan him out to China until they can register him, reports the Mirror .
The La Liga club is ready to begin talks for the Chelsea striker, but their ability to finance a move may come down to being able to loan him out until their transfer ban ends in January.
Chinese club Tianjian Quanjian have made a £76 million offer for Costa in the past and the Spanish side are believed to be in discussions with several Chinese clubs over a short-term move.
Manchester United are ready to splash £100 million in an effort to trump Chelsea's move for Romelu Lukaku, reports the Sportsmail .
The sensational move would see the Everton striker become a world-record signing, surpassing Jose Mourinho's move for Paul Pogba last summer.
Rennes have contacted Chelsea to ask what it would take to bring France international striker Loic Remy back to Ligue 1, according to L'Equipe .
Remy spent last season on loan at Crystal Palace and isn’t thought to have a long-term future at Stamford Bridge under Antonio Conte.
Outbound Chelsea striker Diego Costa is hopeful of having his future resolved by the end of the week, the Mirror reports , with Atletico Madrid said to have prepared a training regime that will keep the Spain international fit while he sits out their transfer ban.
The Liga club are reported to be offering only £22 million plus add-ons for the striker, who has flat-out refused a move to China, representing a bid that would be less than three times the amount Chelsea could have recouped if Costa had agreed a move to the CSL.
Chelsea striker Diego Costa has rejected a move to the Chinese Super League, according to the Daily Mirror .
Despite being told by manager Antonio Conte that he is no longer wanted at Stamford Bridge, the Spain international is happy to sit and wait for Atletico Madrid rather than leave for the Far East.
And his rejection of a transfer to Asia is in turn delaying Romelu Lukaku's arrival from Everton.
Antonio Conte wants Chelsea to spend £100 million on Romelu Lukaku, if that’s what it will take to bring the Everton striker back to Stamford Bridge, according to The Telegraph .
Lukaku has been identified by Conte as the replacement for Atletico Madrid target Diego Costa and the Belgium international has also been linked with a move to Manchester United.
However, Lukaku would prefer a return to Chelsea and Conte wants the Premier League champions to do whatever it takes to secure a deal, even if it means spending a world-record amount.
Swansea City are eyeing a loan move for Chelsea midfielder Nathaniel Chalobah, according to the Daily Mirror .
The Swans are already closing in on Chalobah's team-mate Tammy Abraham, and Paul Clement now wants to make it a double deal for the young Blues stars.
Chelsea have joined Juventus in showing an interest in Danilo, with Real Madrid prepared to sell the right-back if they receive an offer of at least €35 million, according to Marca .
Danilo has been earmarked as a potential replacement for Dani Alves at Juventus after previous reports that the Brazilian was willing to stay at Madrid to fight for his place.