Bild journalist Christian Falk reports the Dane has had several meetings with Chelsea.
However, no decision from Chelsea about Frank has yet been made.
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Furthermore, the Danish coach has also had contact with Manchester United.
Erik ten Hag seems to be hanging by a thread at the English giants, despite the FA Cup title on Saturday.
According to Falk, there has also been interest in Frank from Bayern Munich, who now seem set to choose Vincent Kompany (Burnley).