Most of Rosas's compositions—among them "Sobre las Olas" ("Over the Waves")—were issued by Wagner y Levien and Nagel Sucesores in Mexico City.
In 1894, Rosas went for a several-month tour to Cuba with an Italian-Mexican ensemble, where he came down with major health problems, having to stay behind in Surgidero de Batabanó.
Rosas is one of the best known Mexican composers of salon music, as well as the one with the highest number of editions abroad and of sound recordings, the first of them released in 1898.
In the United States "Sobre las Olas" has a cultural association with funfairs, ice skating, circuses and trapeze artists, as it was one of the tunes available for Wurlitzer's popular line of fairground organs.
The music was used for the tune "The Loveliest Night of the Year", which was sung by Ann Blyth in MGM's film The Great Caruso.