Since Giovanni Dragoni also held the position of maestro di cappella at St. John Lateran, beginning in 1576, the two must have shared the post for two years.
In 1582 Stabile was ordained a priest; and in 1590 he changed jobs again, this time becoming maestro di cappella at Santa Maria Maggiore, where he was employed from 1591 to 1594.
He went to Poland in early 1595, serving King Sigismund III Vasa, who frequently employed Italian musicians, but Stabile died after being in Kraków only two months.
Stabile wrote masses, motets, litanies, hymns, and other sacred pieces, in nine separate publications.
One of his masses — the Missa cantantibus organis — is for the unusual combination of 12 independent voices, and was a collaboration with Palestrina and others.