Mendrisio is a municipality in the district of Mendrisio in the canton of Ticino in Switzerland. Mendrisio is the seat of the Accademia di Archiā¦Mendrisio is a municipality in the district of Mendrisio in the canton of Ticino in Switzerland. Mendrisio is the seat of the Accademia di Architettura of the university of Italian-speaking Switzerland.