Benini held various positions at the national and international levels, including president of the Higher Council of Statistics and of the Commission of Statistics and Law at the Ministry of Justice.
He also represented the Italian Government at the Geneva Conference in 1921 and served as the president of the Commission of Statistics at the General Assembly for the World Agriculture Census in 1926.
Benini used economic and demographic empirical studies with the aim of constructing tools of general validity.
In this way, Benini tried to give statistics an autonomous role in relation to economics, demography, and social sciences, with which it often became confused at the end of nineteenth and the beginning of the twentieth century.
Among Benini's major original contributions we may mention, for example, the attraction indices, the extension to the patrimonies of the Paretian laws of income, and a probabilistic study of factors determining the proportion of the sexes in twins.