The following years saw the release of the albums "Azimut" ("Azimuth") and "Falsi allarmi", again mainly composed by Bissi herself, but also including further songwriting collaborations with Battiato and Giusto Pio, and both albums produced by Angelo Carrara. The albums spun off further popular single releases like "Messaggio" ("Message"), the nonsensical French/Italian/German/English language "Chan-son Egocentrique" ("Selfcentred Song", a duet with Battiato), "A cosa pensano" ("What Are They Thinking"), "Notte a Roma" ("Night in Rome"), "Solo un'idea" ("Just A Thought") and "Il profumo del silenzio" ("The Scent of Silence"). These became especially successful in West Germany, which led to her recording the German/Italian language duet "Zu Nah Am Feuer" with singer Stefan Waggershausen in late 1983, an English/Italian version was later also released in certain territories under the title "Close to the Fire". The single which sold nearly a million copies in West Germany alone was also a number one in Switzerland and Austria. The duet made her one of the best-selling Italian artists on the German-speaking markets of the mid-1980s and it has been said that she at this stage of her career even sold more records in these countries, the Benelux and Scandinavia than in her native Italy.