Although he was born in Foggia, southern Italy, his family was of Piemontese origin and soon moved to Genoa, where he spent his childhood.
Already at the age of sixteen he won a first prize for his artwork at an exhibition in Genoa.
After World War II, he held a post as a lecturer at the Academy of Fine Arts of Genoa until 1969.
Alfieri presented his work several times at the Biennale of Venice: in 1940, 1948, 1950, and in 1956 even in a dedicated hall.
Some of his works are abstract, for instance the Mele grave at Staglieno, or the bas-relief "Furor Mathematicus".