He was the son of GeorgeBasevi, whose sister, Maria, had married Isaac Disraeli and was the mother of the earl of Beaconsfield.
Educated at first by Dr. Burney at Greenwich in 1811, Basevi became a pupil of Sir John Soane, the architect and antiquary; made a tour in 1816 through Italy and Greece, and returned to England in 1819.
In 1821 he was appointed surveyor to the Guardian Assurance Company, and for the next few years was engaged in the construction and superintendence of two churches, and of the houses in Belgrave square.