Tirelli unlocks his early works to the public and throws open his studio, then located on the top floor of a former pasta factory in the industrial San Lorenzo district of Rome. It is here, in the old Pastificio Cerere where Tirelli co-founded one of Italian art’s most important recent movements, the New Roman School, also known as the Scuola di San Lorenzo. Tirelli established his place on the artistic scene in the early 1980s together with the New Roman School, but in a very individual position with respect to the other members. In 1985 he takes part in the 23th Biennial of Paris.
Many personal exhibitions in Italy and abroad follow as well as participations in international biennials such as the Biennal of Venice (1990), where Tirelli hosted a solo space in the Giardini di Castello, invited by Giovanni Carandente, Laura Chrubini and Flaminio Gualdoni. The year 1990 is also of great importance for the duo exhibition between Tirelli and Sol Lewitt that took place at the American Academy in Rome.
In 2002 Das Universum der Geometrie, an important anthological exhibition is held at the Institut Mathildenhoehe di Darmstadt and travelled in 2003 to the Gallery of Modern Art in Bologna.
In 2013 he participates at the 55th Biennale di Venezia with a complex multipart installation in the Italian Pavilion, Arsenale, Venice.
Tirelli’s works can be found in museum collections in Italy, Austria, France, Germany, Japan and the United States.