The Blues could lose Antonio Rudiger, Andreas Christensen, Thiago Silva and Cesar Azpilicueta this summer when their contracts expire.
The club has yet to agree new terms with any of the quartet leaving them facing the threat of seeing all of them walk away from Stamford Bridge at the same time.
As a result, Chelsea are drawing up a list of potential replacements with Bremer, 24, high on their list of targets.
The European champions scouts are understood to have watched Bremer in action against Empoli last week and they have been impressed by the powerful defender, says The Sun.
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