The French champions have been long linked with the Atleti manager and those rumors have intensified in recent weeks as Laurent Blanc’s position at the club becomes more tenuous.
However, the newspaper claims PSG have already tried to lobby Simeone into becoming their new Coach twice without permission from Atleti.
Simeone is neither in the last six months of his contract, so there could be grounds for legal action if the Spanish champions decide to go down that route.
The former Argentina midfielder’s contract at the Vicente Calderon does not expire until 2017, but there have been reports that the 2014-15 campaign could be his last in charge of the Spanish champions.
AS also cites an alleged agreement between Simeone and Atleti President Manuel Angel Gil, in which the 42 year-old boss agreed to stay on for another season before taking a sabbatical to learn English next year, indicating that Simeone’s sees his future in the Premier League and not France.