There have been many reports in recent months that Los Blancos would consider letting Vinicius leave if they received a suitable offer.
At the end of this season, the Fifa Best men's player of the year will have one year remaining on his contract but talks over a new deal have stalled.
When Vinicius was substituted on Sunday, cameras from broadcaster Dazn picked up the Brazilian saying: "Always me! I'm leaving the team! It's better if I leave, I'm leaving."
Real coach Xabi Alonso responded by saying: "I focus on a lot of positive things in the game, and positive things from Vini. We'll talk about [his reaction], of course."
On the clashes after the final whistle, Alonso said: "I interpret it with normality. We don't have to make too much of it.
"It's the tension of the moment, for them and us. These scuffles have always happened."
