Arsene Wenger declared his interest in the striker on Thursday, describing Cavani as a player he "liked" but admitted the player would "cost a lot of money".
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And now the Napoli president has revealed the club have received a bid for Cavani in the region of €55 million (£46m) which he has rejected, but stopped short of naming the club.
"For Cavani I have already been offered €55m (£46m) and I said no," De Laurentiis told Calcio Mercato. "I need him, not the money.
"I am confident in his ability, he knows that here he is the number one in the city, and I do not think in other places or at other teams, most of us can identify with that city, jersey and fans."
The 25-year-old has been in prolific form this season, scoring 25 goals in 24 games.