His sculptural work can be seen in Rome in the grandiose funeral chapel of Pope Pius V designed by Domenico Fontana at the Basilica di Santa Maria Maggiore (Saint Francis), in the Church of the Gesù (one of four marble angels in the third chapel on the right) and in the right transept of the Chiesa Nuova (Saint John the Evangelist and Saint John the Baptist, both signed).
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Vacca had been one of the founding members of the Confraternità dei Virtuosi that was formed at the Pantheon by Desiderio da Segni, a canon of the church of Santa Maria ad Martyres that occupied and preserved the Pantheon, to ensure that worship was maintained in the Chapel of St Joseph in the Holy Land, Others among the first members were Antonio da Sangallo the younger, Jacopo Meneghino, Giovanni Mangone, Taddeo Zuccari and Domenico Beccafumi.