Not all of their fans were on board with the new style, but the last La Ley albums, Uno (2000) and Libertad (2003), consolidated the band as one of the most important in Latin America, earning it a Latin Grammy award for each of the two albums.
Ikke alle fans brød sig om den nye stil, men La Leys sidste to albummer, Uno (2000) og Libertad (2003), bekræftede at gruppen var en af de mest populære i Latinamerika, da begge albummer fik en Latin Grammy-pris.