The Argentina striker has spoken how closely he came to moving to England last summer, while also opening the door to joining Barcelona.
Cobolli Gigli insists Juve must do all they can to make sure Dybala stays.
He told TMW: "He is different from other players. He must find continuity.
"In the current championship he showed better things than the previous one, he also strengthened physically. The class then allows you to disregard the physical.
"He is fundamental for Juve. The day (Cristiano) Ronaldo leaves, he will create greater homogeneity within Juve. There will no longer be the huge star but a team of champions. The game will change and he too will be decisive."