The Paris Saint-Germain midfielder has been heavily linked with a move to the Nou Camp as Ernesto Valverde looks to bolster his midfield ranks ahead of next season.
Verratti, 24, apparently wants to leave the Parc des Princes as he wants a fresh challenge.
PSG are determined to keep the Italy international as they do not want to lose their big names to their European rivals.
But Spanish outlet Cadena COPE has fuelled rumours of Verratti potentially joining Barcelona with Lionel Messi meeting the former Pescara star over dinner in Ibiza.