AC Milan are prepared to sell Suso this month.
While reluctant to lose the Spanish midfielder, Corriere della Sera says a bid of €40m will bring them to the table.
AS Roma are ready to test Milan's resolve with a cash-plus-player swap.
Roma have made an attempt to include Diego Perotti in a bid for Suso - which has been rejected.
The Rossonoro are demanding a straight cash deal to do business.