Pereira spent the second-half of last season with big spending Fla, helping them reach the final of the Copa Libertadores.
Globo Esporte says Fla officials will be in London this weekend to negotiate a permanent deal.
Pereira is currently on-loan to June 2022.
For Flamengo, in just half a season in 2021, he played 24 games, scoring five goals and making one assist.
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