Although the exact dates of his birth and death are unknown, it is assumed that Magri was born in Naples, Italy during the 1730s, and died in Madrid.
The first known record of Magri's dance career dates to 1758, where he performed as a principal dancer, or primo ballerino grottesco, at the Teatro Nuovo dell’Accademia Filarmonica in Verona.
After Magri's second season dancing in Vienna, he returned to Naples, and choreographed multiple ballets at the Teatro San Carlo (1765–66, 1766–67, 1768–74) that showcased the wide range of virtuosic steps found in the grotesque repertoire.
[2] During this time, Magri married the Milanese prima ballerina Teresa Stafani, although the exact date of their marriage is unknown.
There is no record of Magri performing or choreographing after 1774, although he published a highly influential treatise on grotesque dance, Trattato teorico-prattico di ballo, in 1779.