As previously reported by Sky Sports News, they were offered the AC Milan goalkeeper but walked away from a potential deal before the first window of the summer.
Chelsea did not make a bid for Maignan and as things stand there is only a small chance they will sign another goalkeeper this summer.
They have four goalkeepers in Robert Sanchez, Filip Jorgensen, Djordje Petrovic and Mike Penders.
One will go on loan to Strasbourg and one will be sold.