The ambitious Belgians, which have just completed their Champions League group campaign, are planning a January move for Benteke, says Fussball Transfers.
Brugge are counting on the striker's Euros ambitions to tempt him back home.
Benteke needs regular first team football to be sure of his place in Belgium's Euros squad - something he isn't getting at Palace.
Brugge have €10m slate as a winter transfer budget.
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