In 2005, Alejandro and Gabriel Valdivia created A Limine. The project showcased the talents of the two brothers through copious amounts of jamming, while incorporating elements from various genres, from funk to reggae to jazz to all types of rock. With the addition of permanent drummer James Ferrell in 2007, the new trio decided to go for a more focused and slightly progressive sound, while still bringing their broad range of influences to the table. The band's sound can now be defined as a very eclectic alternative-rock-funk. These sonic changes inspired the band to rename themselves Triptico. (Triptico is the Spanish equivalent of the English word triptych, which is an art form involving three sections).

Triptico believes in the free expression of music as an art form and as a social device. Their songs are composed in both English and Spanish, in an attempt to unite both cultures with the universal language that is music. In doing so, Triptico aims to bring all types of people together.

With over three hours of original material, Triptico has brought their fun and exciting live show to venues such as State Theater, The Masquerade, The Orpheum, Bourbon Street, Boomerz Ballroom, Skipper’s Smokehouse, The Market and more. Triptico has been named the Best Band in the Bay in 2009 through a contest held by the Tampa Bay Times. The trio has also made an appearance on WMNF's Latino 54 show. The band performed at Summerfest 2008 where they opened for Tito Puente Jr. and also shared the stage with War in mid 2009.

Currently, Triptico is busy crafting their first album, an ambitious 2 disc set featuring one CD in English and one in Spanish. The band has decided to release the entire discography electronically, free for download to all who want it.