Alisson is one of the most sought after goalkeepers in European football after repeatedly catching the eye in an impressive season.
The Brazilian shot stopper, who is valued at around £61million, kept 17 clean sheets for Roma in Serie A last season.
He will start the World Cup as Brazil’s number one ahead of Manchester City’s Ederson.
And next season he could supplant Keylor Navas as Madrid’s number one.
According to Spanish newspaper AS, talks between Real Madrid and Roma are now at an advanced stage.
It is claimed the deal is so close, Alisson’s Brazil teammates are aware he will be on the move.