His first TV programme is 1999 TV3 show "Xou com sou" and he became very popular thanks to his impersonations of La Pitonisa Lola, Dinio, Pepe Navarro, Boris Izaguirre, la Duquesa de Alba, Rosa López, Tamara, Jorge Berrocal, Joaquín Sabina, Jesús Quintero, Carmen Vijande, Toni Genil, Leonardo Dantés, José Manuel Parada or la Pantoja de Puerto Rico.
His next work, Ayúdame a mirar (1990), is a completely acoustic recording, with guitars and percussion, for which a variety of composers contributed tracks: Adrián Abonizio, Rubén Goldín, Chico Buarque, Mezo Bigarrena and Joaquín Sabina, among others.
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That same year, a tribute album called Serrat, eres único was made to honour his career, featuring artists such as Diego Torres, Ketama, Rosario Flores, Joaquín Sabina, and Antonio Flores.
In 2005 Ordóñez was co-producer, arranger and guitarist on Bachata Entre Amigos, a Víctor Víctor album that also featured songwriters Joaquín Sabina, Joan Manuel Serrat, Pedro Guerra, Silvio Rodríguez, Pablo Milanés, Fito Páez and Víctor Manuel, among others.
The album contains Mucho Mejor (with Coque Malla), Todavía una canción de amor (with lyrics by Joaquín Sabina, whom they toured with that year) and Milonga del marinero y el capitán.
Elefante had formed in Mexico in the late nineties, but they only became successful in the early 2000s, when they opened for Joaquín Sabina in the Auditorio Nacional, Mexico's most important arena.