However, the Blues do not want to meet Beier's buyout clause this summer.
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The striker can leave TSG this summer for €32.5m, but Chelsea are in contact with his club about a smaller fee.
Chelsea are eager to find a new striker signing this summer, with Beier one of several options under consideration.
For their part, Hoffenheim want to keep Beier for another season.
BILD'S Christian Falk is reporting: "ChelseaFC made a request for Maximilian Beier (21)
"The @DFB_Team striker has a release clause of €32,5 Mio in his contract at @tsghoffenheim
"At the Moment a Transfer is not likely."