In 1863, Rosa was appointed Konzertmeister at Hamburg, where he had occasional opportunities to conduct. Three years later he visited England, appearing as a soloist at the Crystal Palace. He had considerable success as a conductor both in England and the United States. He travelled to America in 1866 as a member of a concert troupe promoted by the Baltimore impresario Hezekiah Linthicum Bateman that also included the Scottish operatic soprano Euphrosyne Parepa. During this tour, on 26 February 1867 in New York City, he married Parepa, who became known as "Madame Parepa-Rosa".