Between 1732-1735, Maini was involved in the prominent commissions by Clement XII for his family chapel, the Corsini chapel in San Giovanni in Laterano. The benedictory bronze statue of Clemente XII, by Maini, is inspired by Bernini’s Urban VIII in St. Peter’s, and replaced an earlier statue by Carlo Monaldi. He also sculpted figures for his monument to cardinal Neri Corsini" (1733–34), who was the pope’s nephew. In 1741-43, he worked on the portico relief of Madonna of St Luke for Santa Maria Maggiore. Another contemporary relief of St John Preaching was placed in San Giovanni in Laterano. Starting in 1734 Maini was involved in the design work of Fontana di Trevi, but failed to obtain the choice commission from the main architect Nicola Salvi for the final sculpting of the statue of Neptune and Oceanus group, which instead was given to Pietro Bracci (1743–59). He also sent some reliefs to Siena, for the Chigi chapel in the Cathedral of Siena.
