The winger is reportedly unhappy at the Ligue 1 champions and Antonio Conte is said to be a keen admirer.
Despite a disappointing spell in England with Manchester United two seasons ago, Di Maria is still said to be open to England.
In his only spell in English football, Di Maria played 32 games, scored four goals and made 12 assists.
At PSG, he has played 56 games and scored 15 goals, but will he soon be turning out in a Chelsea shirt?