[2] In Rome he gained the patronage of Cosimo III de' Medici, Grand Duke of Tuscany,[1] an enthusiast of Luti's pastel portraiture.

Luti was one of the first artists to work in pastels as the final composition as opposed to initial studies for paintings or frescoes.

Luti was employed by many of the leading Roman families of the day, including the Colonna, Pallavicini, Barberini, and Odescalchi.

Luti was also a successful art dealer and ran a school of drawing; among his pupils were Giovanni Domenico Piastrini, Giovanni Paolo Panini, Claude Arnulphy, Jean-Baptiste van Loo, William Kent,[3] Charles-André van Loo, Agostino Ratti, Pietro Bianchi, Placido Costanzi,[4] and Vieira Lusitano.

Pascoli's of account Luti, found him a deep intellect, and even more knowledgeable of the works that he draws, although ... because he knew too much and was never satisfied, he oftentimes recycled thoughts and figures: he did not make friends with anyone, and for this reason, when was elected Prince of the Academy, there was not much applause.