The Brazilian will leave Barca this summer, despite having a year to run on his current deal.
Juventus and Fiorentina are interested in Neto, though long-term suitors Arsenal are rated as favourites, says Goal.
The Gunners are in contact with the 32 year-old keeper as they see him as a replacement for Bernd Leno.
The German is the subject of intense interest from Benfica.
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