Conca was recognized by the pope with a knighthood and worked with Carlo Maratta on the Coronation of Santa Cecilia. He was involved with the Accademia di San Luca in Rome, serving as its director and later as Principe. His style was influenced by Luca Giordano and he taught many students, including Pompeo Battoni and Corrado Giaquinto.
Conca received considerable acclaim and patronage throughout his career. He worked for the Savoy family in Turin and painted in various cities, including Siena, Genoa, and Naples. His works included frescoes, allegorical canvases, and altarpieces. He also authored a guide to painting titled "Ammonimenti," which offered both moral and technical advice.
Later in life, Conca returned to Naples, where he continued to paint and receive royal patronage under Charles III. His works from this period include frescoes for the Church of Santa Chiara and other religious commissions. He remained artistically active until his later years.