The winger still has two years left on his current but the Spanish champions hope to extend it.
Vini played a significant role as Madrid won La Liga and the Champions League in 2021-22.
He scored 22 goals and made 16 assists in 52 games across all competitions.
The two parties are yet to reach an agreement over an extension for the Brazilian international.
According to GOAL, the deal is 95 per cent completed, with only a few details left to be adjusted.