In these years Vasi also hosted in his workshop for a limited period of time the young Giovanni Battista Piranesi, his major pupil, who shaped here his technique as an engraver.
He also created 15 tablet engravings of opera scenes designed by Vincenzo Re; some of which are part of the collection at the Victoria and Albert Museum in London.
As a cartographer his major work remains the giant map of Rome, published in the early 1760s but conceived at least 20 years before; as an author, Vasi wrote nine out of ten books of the "Magnificenze" (II to X) and the "Itinerario Istruttivo".
Things changed in 1981, thanks to the monograph by Luisa Scalabroni and even more in the nineties, mainly thanks to the contributions by Paolo Coen on his catalogue and by Allan Ceen on the maps.
Though far from being a revolutionary, he gave a significant contribution to the Roman school of engraving applied to the "veduta", with a role quite similar to Giovanni Panini's in painting.