An architect and a stage designer, Baldessari was a pupil of Luigi Comel at the Scuola Reale Elisabettina in Rovereto, where he met Fortunato Depero, struck up a friendship with him and joined his futurist circle. After graduating in architecture at Milan Polytechnic he went in Berlin in the 20s where he attended Walter Gropius and Ludwig Mies van der Rohe. Back in Italy, Baldessari approached the Gruppo 7 of the Italian rationalist architects. As an architect he participated in numerous international exhibitions, including the Expo 1929, the Milan Fair, the Milanese Triennale. Among his major works are the halls for Vesta and Breda at the Milan Fair, the press hall at the Triennale, the Hansaviertel skyscraper in Berlin and the Feltre district in Milan. As a production designer he worked with directors as Max Reinhardt, Erwin Piscator, Tatiana Pavlova and Enzo Ferrieri. He also run the composition of several art exhibitions, mostly at the Palazzo Reale in Milan: in 1972, for example, he organized the retrospective exhibition of Lucio Fontana. The Baldessari archive is partly preserved at the Mart in Rovereto, partly at the Milan Polytechnic and at the Center for Advanced Studies on visual arts of the City of Milan.