Best known for his sculpture of the Rape of Polyxena or Pyrrhus and Polyxena (unveiled 1866) in the Loggia dei Lanzi in Florence, Italy. Fedi had a studio in 89 Via de Serragli. He also completed statues of Niccola Pisano and of the great scientist, Cisalpine, for the Portico degli Uffizi. He also completed a sculptural group of the Fury of Atamante, King of Thebes, The Genius of fishing, Hope nourishing Love, Hyppolite and Dianora del Bardi, Castalla persecuted by Apollon. He designed the statue of General Manfredo Fanti, moulded in bronze by Papi, standing in Piazza San Marco.
One of his pupils was Giovanni Bastianini.