He then toured Florence, Turin and Milan, where he played at La Scala.
His tours in Europe brought great critical and public enthusiasm.
In 1875, he returned to the Americas, and was appointed director of the Conservatoire de Haiti.
In later years he played in St Petersburg (1881), New York (1887), Barcelona (1889), Santo Domingo (1895), San Juan, Puerto Rico, Port of Spain, Trinidad and Tobago (1896), Caracas (1899), Tenerife (1902), Ronda, Spain (1911), and ended his career in Argentina.Claudio composed a few works, but he was primarily a concert performer, and to judge from critical notices, one of the best in the world at that time.
Carpentier called him "the most extraordinary of the black musicians of the nineteenth century...
In Buenos Aires he was given a genuine Stradivarius; when he stayed in Berlin, he married a German woman, was appointed chamber musician to the Emperor, and became a German citizen.
He died in 1911, now in poverty, from tuberculosis in Buenos Aires.
In 1930 his remains were transferred to Havana with great honours.