The centre-back joined the Catalans on loan over the course of the summer, with a purchase clause included in the agreement.
And Barcelona have now moved to secure the future of the 21-year-old who made his debut for the club in November's 2-0 win over Celtic in the Champions League.
The sum Barcelona have to pay to Fluminense may even be less than the €6m, given the latter are said to have outstanding debts to the Camp Nou outfit 