Solís began to receive international acclaim in 1957 when he began appearing in the United States and Central and South America. He was among the first artists to sing in the new style now known as bolero-ranchera. He sang boleros typically associated with trio music but which now were accompanied by mariachis. Solís was a versatile interpreter singing not only boleros, but rancheras, corridos, danzones, waltzes, and tangos, among others. His hit recordings included "Sombras", "Payaso", "Vereda Tropical", "En Mi Viejo San Juan", and "Amanecí En Tus Brazos", the latter a re-recording of the hit written and recorded by José Alfredo Jiménez.