The French starlet has emerged as one of European football’s top young talents over the course of the past year, forcing his way into the Ligue 1 champions’ squad after a successful loan spell with Toulouse.
However, playing time has been far from regular for the 18-year-old this term, with PSG’s squad full of experienced international players.
With their Middle Eastern backing, the Parisians may yet further add to their ranks in the coming transfer windows, which has caused Rabiot to consider his options.
This has alerted the Premier League duo, with both sides keen to offer him the chance he craves.
However, a January deal is likely to be impossible, with the French giants having stated that he will not be sold between now and the end of the month.
Arsene Wenger is particularly keen on Rabiot after missing out on him over the summer, while Chelsea chief Jose Mourinho is also in the battle as he looks to add a youthful edge to his experienced Blues squad.