He was born to Marcello Guglielmelli and Caterina Vera but grew up in the house of a painter, Onofrio de Marino, whose daughter he married in March 1677.
Starting in 1691 he worked in the Augustinian monastery of Santa Maria degli Angeli a Pizzofalcone, where he modified Francesco Picchiatti and Cosimo Fanzago's original project from 1646 (construction began in 1661).
he worked on Santa Maria Donnalbina, where Arcangelo added a chancel with a dome (the contract of 1695) and then, at the turn of the century, the completion of the Church of San Carlo all'Arena.
The ancient basilica of San Giorgio Maggiore, also required restoration, retaining today only the apse triforium with columns and pilasters.
From 1677 onward, Arcangelo worked for the Jesuits in the church of Gesù Nuovo, but only after 1688, did he succeed as a main architect from Dionisio Lazzari (who had taken the post from Fanzago in 1678).
From 1691 onward, the Dominicans commissioned a number of works from Arcangelo, including enlarging the church of Sanità a Barra, but here, in 1703he was replaced by the rising Francesco Solimena.
Meanwhile, in 1699, Arcangelo completed the rebuilding of the Angevin church of St. Antonio Abate (or di Vienna), providing new windows, a nave ceiling, and an altar.
Also for the Dominicans, Arcangelo helped design a home of the congregation of St. Vincent Ferrer being founded on the grounds of the convent of Santa Maria della Sanità, Naples (1705).
With collaboration with Nicola de Marino, he completed the interior of the church of San Filippo Neri (1703), a work left unfinished by Lazzari.
Arcangelo had already built the chapel of the Immaculate Conception in 1697, and in 1699 that of the Blessed Sacrament, where he worked as a quadratura painter, assisted by Giacomo del Po.