Englishman has contract at the Stadium of Light until 2016.
Napoli head coach Rafa Benitez made shock move to sign Sunderland holding midfielder Lee Cattermole in the final hours of transfer deadline day, according to reports in the Sunday Mirror.
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The former England Under-21 international was also the subject of a £5m offer for his services from Premier League strugglers Stoke City on Friday that was also rejected by the Black Cats.
However, just prior to Potters boss Mark Hughes lodging his own offer for the 25-year-old defensive midfielder, the Serie high flyers had also made contact with the north-east outfit to inquire about his availability.