Boehly has revealed his desire for a multi-club network across the world, similar to Manchester City's owners, City Football Group.
CFG own Premier League champions City, as well as ten other teams.
And after Boehly took over Chelsea at the end of May, he sought out a deal to buy Lyon earlier this month, says the Guardian.
That's despite Palace part-owner Textor already agreeing a deal to buy a majority share in the club back in June.
Nevertheless Boehly is alleged to have tried to muscle his way in, but ultimately failed in his bid to buy a second football team.
Textor's Lyon takeover is set to be finalised in the coming days.