Goalkeeper Petr Cech met with Chelsea officials on Monday to discuss his desire to leave the club.
Cech would like to join Arsenal, but the Premier League champions are reluctant to let him move there unless they receive a home-grown player as part of the deal.
PSG are also interested and Chelsea would prefer to sell to the French champions for a fee of around £11m. Cech, who has been at Chelsea for 11 seasons and has a year left on his contract, would rather remain in London, where his family is settled.
The 33-year-old returned to London to meet Chelsea with his representatives after playing in the Czech Republic's 2-1 defeat in their European Qualifier against Iceland
Cech spent last season as second choice to Thibaut Courtois and featured in just seven Premier League games - it was the first time he has not been No 1 at Stamford Bridge.
The four-time Premier League winner has made over 500 appearances for Chelsea since joining in the summer of 2004 from Rennes for £7m.
His performances helped Chelsea win the title in Jose Mourinho's first season as manager - they also won the league the following season but Cech missed three months of the 2006-07 season after fracturing his skull against Reading.
Cech has no memory of the incident and he has worn a protective skull cap ever since his return from the injury.
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