The 28-year-old has contributed one goal and one assist in 24 outings for his Italian club this season.
The Toffees were credited with an interest in his services during the January transfer window, but the deadline passed with the Brazilian still in Naples.
According to Il Mattino, the Merseyside giants are 'among those potentially most interested' in a deal for the midfielder during this summer's transfer window.
The report, though, claims that a decision on his future will not be decided until the end of the season.
Napoli are believed to value the South American, who has a contract with Gil Azzurri until the summer of 2023, in the region of €40m (£34.6m).