He stayed active with this band (under the directorship of Danish percussionist Birger Sulsbrück) until 1987, the year well he embarked on a solo career in his own orchestra, Los Gran Daneses.

Cordero and his Los Gran Daneses went on to appear in Miami's prestigious Calle Ocho Festival in 1992, then in 1993 they recorded their debut album, Rompiendo El Hielo[1][4] with the TTH label.

1996 saw the release of Los Gran Daneses', Del Norte y Tropical[3][5] album which contained a memorable version of Ernesto Duarte's bolero, Como Fue.

A few years earlier in 2010, this Cuban musician from Holguín had distinguished himself as the Danish act with the most foreign presentations, including concerts in Spain, USA, Germany, Poland, Finland, Cuba, Italy, Sweden and Norway.

In 2011 the Gran Daneses record their seventh album, Siempre Pa´ Lante, with guest artists including Alain Pérez, Luisito Quintero and Nelson Jaime Gazú.