[1] It began accepting foreign members in 1888,[1] and by the time of Guccia's death in 1914 it had become the foremost international mathematical society, with approximately one thousand members.

[1] Rendiconti del Circolo Matematico di Palermo, the journal of the society, was published in a first series from 1885 to 1941 and in a second ongoing series beginning in 1952.

Since 2008 it has been published by Springer Science+Business Media; current editors are C Ciliberto, G. Dal Maso, and Pasquale Vetro.

[3] Influential papers published in the Rendiconti include Henri Poincaré's On the Dynamics of the Electron (1906).

The Rendiconti also provided the introduction of normal numbers,[4] the original publications of the Plancherel theorem[5] and Carathéodory's theorem,[6] Hermann Weyl's proof of the equidistribution theorem,[7] and one of the appendices to Henri Poincaré's "Analysis Situs".