He furthered his studies under Dionisio Lippi, who praised him as a "doctissimus adulescens" (Latin for "a very learned young man") for his passion for classical culture.

[1] His diplomatic career began in 1568 when he was appointed to accompany ambassador Ludovico Antinori to the imperial court, following the death of his brother Emilio during the mission.

Vinta played a key role in negotiations concerning the grand ducal title granted by Pope Pius V to Cosimo I, which had sparked protests from Ferrara and Mantua.

[1] When Ferdinando I succeeded his brother in 1587, he reorganized the secretarial offices, placing Vinta in charge of foreign relations with several key Italian states.

[4] His responsibilities included managing relations with Venice, Milan, Ferrara, and Bologna, as well as overseeing ducal properties, public health, and the food supply.

He accompanied Princess Maria de' Medici to France in 1600 for her marriage to Henry IV and remained closely involved in managing the financial settlement between the French Crown and Tuscany.

Vinta continued to guide Tuscan foreign policy, particularly in negotiations surrounding the double royal marriage involving Louis XIII of France and Anne of Austria, as well as the future Philip IV of Spain and Elisabeth of Bourbon.

[1] He bought Palazzo Tempi from Torrigiani family and created the facades on the via de Bardi side, including a portal with the bust of Cosimo II in 1609.

Vinta also managed relations with Galileo Galilei, advising the scientist on naming the moons of Jupiter "Medicea Sydera" in honor of the Medici family.

Two funeral orations were delivered in his honor, one by the theologian Graziano d’Avezzano and another by Alessandro Minerbetti, commissioned by Grand Duchess Christina of Lorraine.