The report claims that Pastorello met with Fenerbahçe representatives at the Yellow Canaries headquarters to enter negotiations.
Fenerbahçe sporting director Giuliano Terraneo met with Nani recently and talks are believed to have entered the final stages.
The Yellow Canaries signed Lille defender Simon Kjaer on a four-year deal earlier in the week and want to complete the Nani transfer ahead of the pre-season.
Nani would be joining Portuguese manager Vitor Pereira if he agrees to the Fenerbahçe move.
Pereira was appointed Fenerbahçe manager on a two-year deal last week.
Nani spent last season on loan at Sporting Lisbon scoring 12 goals and providing eight assists in 38 games for the Portuguese giants.
The 28-year-old still has three-years left on his contract and currently earns €140,000 a week at Manchester United.