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The 23-year-old has been in good form this season, which has seen him break into the France national team.
The winger's progress has grabbed the attention of the top European Clubs, with Paris St Germain and Liverpool both keen on his services.
The Reds' director of football, Damien Comolli, pinpointed Payet as the solution to their left-side problem, but held back to pursue other targets.
Now Chelsea have made their move, hoping to seal Payet’s signature along with that of Fernando Torres as the defending champions look to bolster their attacking options.