The building was demolished in 1807 in order to make way for the Napoleonic wing of the Procuratie, and many of the artworks it contained were distributed among other churches and museums.

[1] In the late 12th century, during the tenure of Doge Sebastiano Ziani, the church was demolished and rebuilt in another location in order to make way for the expansion of Piazza San Marco.

Construction began in 1505 to designs of the architect Cristoforo da Legname,[2] but by the middle of the century the building remained incomplete.

In 1552 the church's procurator Tommaso Rangone commissioned the architect Jacopo Sansovino to design a façade for the building, which was to include a statue of himself.

In his 1842 Hand-book for Travellers in Northern Italy, Sir Francis Palgrave lamented the demolition of San Geminiano as "Gallic vandalism, which has inflicted such irreparable injury upon the fine arts.

[2] The Scuola di Santa Caterina had an altar within the church, and it had an altarpiece which depicted Saint Catherine of Alexandria by Giovanni Bellini.

[7] The church's marble high altar was designed by Cristoforo da Legname and it included statues of saints sculpted by Bartolomeo Bergamasco [it] within niches.

[9] Busts of the priests Matteo e' Eletto and Benedetto Manzini which were sculpted by Bergamasco and Alessandro Vittoria respectively originally flanked this altar, and they are now located in the Galleria Giorgio Franchetti alla Ca' d'Oro.