Alisson was voted goalkeeper of the year at the Best FIFA awards last month having helped Liverpool win the Champions League and Brazil the Copa America during the summer.
On both occasions, the Reds shot-stopper came up against Messi in the semi-finals, facing Barcelona and Argentina. Alisson was also part of the Roma team that eliminated Barcelona from the Champions League the previous campaign.
He told Mundo Deportivo: "The truth is that Messi played very well in the first leg in Barcelona (against Liverpool) and scored two goals, but in the return I managed to stop him in some important moments.
"Messi is one of the best players in football history, but I don't think only of duels with him. Both Barcelona and Argentina are two very good teams that have high quality players.