The 18-year-old - the subject of his father's famous goal celebration at the 1994 World Cup - is currently on the books of Flamengo.
His experience of senior competition is limited, but he has offered enough during his short career to suggest that he has the potential to follow in his father's illustrious footsteps.
Reports in Italy suggest that Juve have seen enough in him to justify a five-year contract, with there only a few minor details left to iron out.
Should a move be put in place, the reigning Serie A champions would acquire another playmaker to add to their already enviable collection of creative talents.
"Everything is going okay," Mattheus' agent Vantuil Rodrigues told Lancenet.
"The last details have been agreed. Only some paperwork is needed to make the negotiations official - the fees and the contract length have been agreed.
"The paperwork should arrive any day now and, when that happens, Mattheus will travel to Italy to undergo a medical."