The group derived from some 60's beat bands like I Condor, that included bass player Alessandro Zanelli and keyboardist Franco Orlandini (from Mat 65 and who later worked with Equipe 84 and Claudio Rocchi), and later changed name to Le Lunghe Storie, and along them from Le Bugie and Gruppo 3. But the basic nucleus came from Terza Classe, which also gave birth to Perdio.
Second album came three years later, this time the trio was helped by some guest musicians like Lucio Fabbri on violin (Piazza delle Erbe and later PFM), the jazz saxophonist Gianluigi Trovesi, and Luciano Ninzatti (from Eugenio Finardi's band Crisalide) on guitar.
With a much better production and sound, this can be considered the best of their two albums.
In concert, Madrugada played on tour with Area (6), Claudio Rocchi and Biglietto Per L'Inferno, and in Lugano (Switzerland) with Kevin Ayers.
Moreover they played in many concerts for political movements like Avanguardia Operaia and the Radical Party and the Re Nudo magazine. The band split at the end of the 70's.