Patrick, 20, has been a highlight of the Palmeiras side and his good performances have led to interest from Europe.
Atletico Madrid, Inter and Marseille are among the clubs reportedly keen on Patrick, who has a contract until 2024.
But according to A BOLA, Benfica are willing to pay big money to secure the Palmeiras talent.
After initially proposing €12m, the big-spending Lisbon club have bumped their offer up to €14m.
Patrick was offered to Benfica by his camp and is a name that pleases coach Jorge Jesus.
A meeting between Patrick’s representatives and Palmeiras directors is scheduled for Friday.