The Germany international has seen a €32m offer from the FA Cup winners rejected by the Nerazzurri.
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La Gazzetta dello Sport says Inter are prepared to sell Bisseck this summer - but at a starting price of €40m.
However, in Palace's case, Bisseck has also rejected the move as he targets a bigger club if he must leave Inter.
Bisseck would prefer to remain with Inter this season, a decision which has been welcomed by coach Cristian Chivu.