The 18-year-old has been attracting attention from a number of clubs across Europe after some mature displays for the French champions, however reports suggest he is unhappy at the lack of first team opportunities in Paris.
The youngster has so far refused to extend his contract at the Parc de Princes, with his current deal set to expire in the summer of 2015.
While it remains unlikely Rabiot will seek a January move, reports in France suggest a summer deal may well be in the pipeline, with several clubs said to be trying to lay the groundwork for a move already.
And according to Le10Sport, Chelsea have joined London rivals Arsenal and Tottenham in hoping to persuade the youngster his future lies in the Premier League.
Only last month Rabiot suggested he may well have to follow the example set by Mamadou Sakho, who left PSG for Liverpool in the summer in pursuit of regular first team football.
“I know it is important to the leaders and supporters [that I am homegrown]. But that’s not enough,” Rabiot said.
“If I am to be set aside on the day where others players are recruited in my position, it is not worth it.
“I do not want to live the way Mamadou Sakho did.
“After a while, when he realised he would not play much, he took the decision to leave and he did well.
“If a new midfielder is recruited in the winter transfer window, it will change the game for me.
“I would then think about my future.”
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