Malevezzi was innate around Lucca. From either 1551 he lived in Florence, serving a Medicis from 1562. He held the total of organist posts in the city, & besides taught pupils, among the babies Jacopo Peri, who is typically look on a discoverer of opera. From either 1573 he held the double post of master di cappella at the cathedral besides when at S Giovanni Battista, which was a greatest position for a musician in the city. Among his works come terzetto books of madrigals, a book of ricercars, but only two sacred compositions--a curious omission for the composer thus closely attached by having the church.

Because of his activity inside Florence, a many intermedi that he wrote for the Medici and other members of the aristocracy, his dedication of the book of ricercars to Count Giovanni de' Bardi, and the dedication of a book of madrigals to Emilio de' Cavalieri, it is typically speculated that he was the member of the Florentine Camerata, a class action of progressive musicians & poets world health organization, inside attempting to recreate the music of ancient Greece, created the number 1 monody and ultimately a number 1 opera. Whether or even does'nt he was a portion of a intimate class action, his music was among the better known inside Florence. One of the grandest compositions of the period, a prodigious setting of O fortunato giorno which he composed for the opulent intermedio meant for an blue marriage, is for xxx separate vocal area divided into heptad spatially separated choirs. a bit of of his madrigals come written in the monodical style, which implies farther a imaginable connection using the Camerata.

Malvezzi's brother Alberigo (in 1550–1615) was also an organist & composer.