The free agent was first in talks with OM before signing for Crystal Palace yesterday.
Former Schalke midfielder Meyer demanded €8m-a-year to sign with OM, which the French giants rejected, reports Le 10 Sport.
Instead, Meyer signed for Palace on a deal worth €10m-a-year.
He said after signing his three-year deal: "I feel really good and I'm happy to be here. I can't wait to start training with the team and I hope I'll have a good season.
"I'm proud to be here and I hope I can make the next step in my career. I want to give my best and I think we can have a good season - maybe better than the last.
"I played at Selhurst Park last season for Schalke and the atmosphere was perfect, and I can't wait to experience the atmosphere for a Premier League game."