He wrote an influential piece on this subject, titled Discorso Economico sopra la Maremma di Siena, published posthumously in 1775.

In 1737, he wrote his famous essay on the Sienese marshes, Discorso Economico, offered in manuscript to the grand-duke Francis II in 1739; but not printed till 1775 (Prima edizione di Firenze per Gaetano Cambiagi stampator granducale), fifteen years after Bandini’s death.

A second edition was issued by Pietro Custodi, Scrittori classici italiani di economia politica, Milan, 1803, Parte moderna, Tomo I. Bandini’s essay contains the following leading principles of political economy.

The Sienese marshes, which Bandini hoped to reclaim by the adoption of these maxims, constitute the lower part of the province of Siena and about two-fifths of the whole of Tuscany.

His maxims, neglected by Francis, inspired the policy of the grand-duke Peter Leopold of Tuscany, but the Maremma benefited by it only after the granduke had charged the mathematician Leonardo Ximenes to investigate the hydrostatical problems of the case, and received a favourable report upon Bandini’s suggestions.