The player's agent, Donato Di Campli, wants Verratti to be rewarded for a fine first season in the French capital with a new and improved contract.
Verratti, currently with the Italian under-21 squad in Israel for the European Championships, has been scouted by some of Europe's top clubs including Manchester United.
And Di Campli wants to use this interest to his client's advantage.
"I'll talk to the directors in Paris next week to discuss his future," Di Campli told Sport Mediaset.
"We'll also discuss a pay rise. Verratti is tied to the outfit for another four seasons, but he is no longer the player who arrived from Pescara.
"His value is now different and we'll evaluate these aspects."
Real Madrid have also been linked with the Italy international, who primarily operates as deep lying playmaker.
And Di Campli acknowledged his player was flattered to be mentioned as a potential target for a club like Madrid.
"Real Madrid?" said Di Campli. "I read a lot of stories in the newspapers and it is pleasing to know that Marco is being followed by great clubs such as Real."
He's been compared to Juventus star Andrea Pirlo for his style of play, and the Serie 'A' champions were reportedly interested in signing him last summer when he decided to leave Pescara.