In 1990, Rojas went solo and recorded "Sensual" (1990), "Condename" (1992), and "A Mi Estilo" (At My Style) (1994). "Condename" would garner Rojas his first Lo Nuestro nominations for Tropical Album of the Year and Tropical Male Artist of the Year in 1993. However, it was his 1995 recording "Por Propio Derecho" (On my own right), that placed Rojas on Latin Billboard's hit list. The album's lead single, "Esperándote" ("Waiting for You") became his first number-one hit on the "Billboard" Tropical Airplay chart and was nominated Tropical Song of the Year at the 1996 Lo Nuestro Awards. He gained the recognition he always wanted when he won the Paoli Prize for "Best Salsa Artist of the Year" and an "ACE" Award.