Reports have stated that Todd Boehly had a late proposal to buy Lyon knocked down earlier this month.
According to The Guardian, the Blues saw their efforts to purchase the seven-time Ligue 1 champions stifled, with John Textor, investor in Crystal Palace, having already agreed a deal to buy the club back in June.
The news comes as the American is keen to adopt a multi-club system in a similar way to Manchester City have done around the world, with the Red Bull group also showing its benefits.
The Guardian said that Boehly has been anxious to purchase other sides since becoming Chelsea owner, with them having a separate bid refused down by Brazilian club Santos.
The report went on to say that they are currently in talks to buying Portuguese side Portimonense, with the aim to become a group of clubs all over the world.
Boehly has certainly not been afraid to make big decisions since becoming Chelsea owner, despite it being his first venture in the sport
He has also not been afraid to pitch ideas, with his recommendation of learning from American sports and installing an All-star game coming into some strange criticism.
It feels like being American has made things difficult for the new owner to have his say at the moment, with many comparing him to owners of Manchester United and Liverpool despite having very little to back that up.