Real Madrid have a shortlist of two to replace Mateo Kovacic.
The Croatia midfielder left for Chelsea on Wednesday and Marca says Real will immediately move to replace him.
Real believe €60m will land Thiago, while it will take €80m to prise Pjanic away from Juve.
Earlier on Wednesday, Real coach Julen Lopetegui said of Kovacic: "If he goes out we will look for solutions, without doubt.
"We will take the solutions internally. If he leaves, there will be a player of his level (to arrive). We want a balanced squad."