The report claims that should Zinedine Zidane remain at the club beyond the end of the season, the Frenchman's priority will be to offload Isco.
In the meantime, however, there are updates on Conte himself, two Real Madrid players and Swansea's Tammy Abraham.
"I just give advice to the team". When I start something I get involved, I believe where I'm going, what I should be doing and I back the people I'm working with. Perhaps the guarantee of being able to play on a weekly basis at Stamford Bridge could appeal to Isco, who has spent large periods of his time in Madrid among the substitutes. Madrid were already leading 5-2 when Benzema had missed a really good chance that led to a shower of boos from the fans. "Hopefully, we won't hear any more of this", Zidane added.
With Los Blancos some 19 points behind LaLiga leaders Barcelona following last weekend's 2-2 draw at relegation battlers Levante, there have been reports Zidane is preparing for a summer shake-up at the Santiago Bernabeu.
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The move was hailed by Israeli Prime Minister Benjamin Netanyahu and by leaders across much of the Israeli political spectrum.
Nevertheless, Zidane was keen to point out that his backing for Isco did not mean a guaranteed run of starts, given the competition for places in his Madrid squad.
Players of Isco's calibre are exactly what we should be in the market for. You recently asked me why I did not sign [anyone in January].
"I have to pick a team".
Perhaps the fans will need to experience more of the good times before their hard exterior melts away.