The 20-year-old, who has represented his country at Under-17 and Under-20 levels, is currently on loan at Serie A side Cagliari from parent club Flamengo.
His agent has revealed that discussions are taking place with the Elland Road outfit and has hinted that Adryan has a strong interest in joining the Whites.
"We are talking with Leeds, but there is nothing signed," representative Reinaldo Pitta told La Bottega del Calciofilo.
"I'm in Brazil and Adryan is in Italy so there is still nothing concrete between us and Leeds, although if we are talking it's clear that he would like to play there."
Leeds have signed 11 new players this summer, including six with Italian connections utilised by ambitious new owner Massimo Cellino.