Santa Cecilia in Trastevere
Conca was knighted by the pope. He collaborated with Carlo Maratta in the "Coronation of Santa Cecilia" (1721–24) in the namesake church of Santa Cecilia in Trastevere. In 1718 he was elected to the Accademia di San Luca, and was its director in 1729–1731, replacing Camillo Rusconi as "Principe" in 1732. He was also elected Principe in 1739–1741.