The 23-year-old playmaker struck in the 83rd minute when he was allowed the space to collect the ball outside the box and fire ferociously into the top corner.
The winner came with just minutes to play after a Aleksandar Dragovic penalty cancelled out a 62nd minute David Luiz header.
The friendly victory was Brazil's sixth consecutive win under new manager Dunga who took over from Luiz Felipe Scolari after the World Cup.
