Caponi is a Professor of civil procedure at the University of Florence (Italy).

He is a fellow of the Alexander von Humboldt Foundation (Germany) and a member of the International Association of Procedural Law (IAPL) Council. He is on the Board of Trustees of the European Law Academy (ERA) and the Board of Directors of the 'Associazione italiana fra gli studiosi del processo civile'.

Professor Caponi is a founding member of the ELI and a former member of the ELI Executive Committee.