Although the Paris Conservatorium was home to some celebrated musicians, such as Berlioz, Auber and Rossini, who occasionally noticed talented students, Bungert did not receive the encouragement he expected.
Although he composed more in Kreuznach - the production of his piece Hutten und Sickingen during the unveiling of a monument was a big success - he was obviously not satisfied.
Bungert travelled to Italy with the prize money, ostensibly for health reasons, but probably from a deep yearning for Italian life, moving to Pegli, near Genoa.
Here he met Giuseppe Verdi, and his neighbour was the philosopher Friedrich Nietzsche, with whom he would form a strong friendship.
In Italy, Bungert made the acquaintance of the Queen of Romania, Elisabeth of Wied, known artistically as Carmen Sylva, who would become of great importance in his later life and for his music.
The house was situated on the Rhine in Leutesdorf, had a large garden and was renovated by the Cologne architect Carl Schauppmeyer in the Ionic style.
He celebrated his greatest artistic triumphs during this time, especially with the setting of Sylva's poetry to music and his Rhine-songs, which he often composed sitting at his regular table in the Rhine garden of the Leyscher Hof Hotel in Leutesdorf, for which he mostly wrote the texts himself.
His list of works includes 362 songs, many of which were based on texts by Carmen Sylva, while he wrote most of the words to his Rhine-songs himself.
His greatest work was the operatic tetralogy "Die Homerische Welt" (The Homeric World), inspired by Wagner's Der Ring des Nibelungen.