The Sun says Palace are seeking to strengthen their midfield options.
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Palace have now made an offer for Club Brugge star Christos Tzolis, formerly of Norwich City.
Brugge have rejected the Eagles' bid of €30m, though the FA Cup holders are expected to return with an improved offer.
Palace are also eyeing Leicester City midfielder Bilal El Khannouss, with a proposal said to be planned for this week.
Wolves striker Hwang Hee-chan is also on Palace's shopping list before the deadline falls.