El Mundo Deportivo have claimed that the Bianconeri submitted the offer earlier this week, but were quickly rebuffed by the Partenopei who want €10m for the Colombia international.
The 27-year-old has just a year left on his contract, and has so far been unwilling to extend with the San Paolo side.
Coach Rafael Benitez admitted earlier on Friday that Zuniga was ‘an important player’.
West Ham have reportedly re-ignited their interest in available Juventus striker Fabio Quagliarella, according to reports.
Sky Sport Italia claim the 30-year-old is back on the transfer radar of the London club, although an offer has yet to be tabled.
Quagliarella, an Italian international, is also admired by Norwich. They reportedly had a €10m offer rejected by the Italian champions earlier this month.
The Azzurri were yesterday linked with the Italian midfielder after his agent claimed they had made a “monstrous offer” for his client.
“Some media, at times, need to write something and report things which haven’t been verified with the source,” President Aurelio De Laurentiis noted on Twitter this morning.
“Verratti is not for sale. Agents, through the media, are trying to put pressure on PSG in order to get the player an increased salary.
“We are friends of PSG and we are not taking part in this game.”
The movie mogul then confirmed the club are still looking for a new striker after talk that they had made a €32m bid for Colombian striker Martinez.
“With regards to another forward, we have to analyse the strength and the quality of the players that we have with boss Rafael Benitez,” ADL added.
“The addition could be Martinez or it could be a lot of other players. Benitez will make the decision.”
Porto yesterday claimed that they would not be selling the South American who has a €40m rescission clause in his contract.
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