In 1818 he exhibited at the Royal Academy a piece entitled the Judgment of Paris, and in 1819 a monument to Lady Anne Hudson; other early memorial works by him are in Esher church and St. John's Wood chapel.
He left England early in 1821, and, after studying for a few months in Paris under Bosio, proceeded to Rome, and entered the studio of Canova, where he had John Gibson (1790–1866) as a fellow pupil.
Settling permanently in Rome, Wyatt practised his profession there with great enthusiasm and success, and from 1831 until his death was a frequent exhibitor at the Royal Academy.
Among his best works were Ino and the infant Bacchus, Girl at the Bath, Musidora (at Chatsworth), and Penelope, The Huntress, and Flora (all in the royal collection).
Wyatt was a highly accomplished artist, particularly excelling in his female figures, which in purity of form and beauty of line rivalled those of his master Canova.