Alejandro David Falcón Rodríguez was born May 18, 1981, in Matanzas, Cuba, the coastal city long credited as the birthplace of the danzón, the 19th-century dance form that would become a recurring thread in his own music. He began formal piano study at the Escuela de Superación Profesional in Matanzas from 1996 to 1999, continued at the Escuela Nacional de Arte in Havana from 2000 to 2003, and in 2004 entered the composition program at the Instituto Superior de Arte (ISA) in Havana, graduating in 2008 with the institute's Título de Oro. Along the way he won prizes at Cuba's JoJazz festival, the country's leading platform for young jazz talent: a performance prize in 2002 and a composition prize in 2005.

He spent his early professional years as a sideman and arranger inside Havana's popular-music scene, working as pianist and keyboardist with Paulo FG's orchestra, flautist Orlando "Maraca" Valle's band Otra Visión, and Alexander Abreu's Habana de Primera, while building the arranging and production credits (over 100 recordings by his own account) that mark most working Cuban pianists of his generation. In 2008 he formed his own group, Alejandro Falcón y Cubadentro, a jazz quartet built around piano, bass, drums and hand percussion, and released his debut leader album, Claroscuro (Producciones Colibrí, 2012), which won the Cubadisco award for Best Debut Album (Ópera Prima) in 2013.

Falcón followed it with Cuba Now Danzón (2014), a CD-DVD set that took the Cubadisco award for Instrumental Music and Recording in 2015, extending the danzón-into-jazz language he had introduced on his debut. Mi Monte Espiritual (2018) and Rompiendo la Rutina, recorded the same year with La Charanga Rubalcaba, followed, alongside soundtrack work: he composed and played piano on the score for the Cuban telenovela Vidas Cruzadas (Producciones Colibrí, 2019), later reissued as Vidas Cruzadas (Banda Sonora de la Película) in 2021, and scored the telenovela Renacer (2024). In 2021 he recorded Jazz Con Guaguancó, a live album pairing his quartet with Los Muñequitos de Matanzas, the rumba ensemble from his home city. More recent releases include El Caruso del Son: Homenaje a Abelardo Barroso (2023), made with drummer Enrique Pla, Clásico entre Puentes (2025), a collaboration with violinist Iván Valiente and the Ensemble Solistas de La Habana that pairs him with the classical side of Havana's music scene, and Live in Havana, a 2025 live recording with Cubadentro.

Falcón's profile outside Cuba grew through Cuban Notes, a recording project conceived by guitarist Roni Ben-Hur and Dot Time Records founder Johanan Bickhardt to record Cuban musicians on their own ground rather than importing them to a New York studio. Falcón's own leader album for the label, Falcón In Blue (Dot Time Records, May 1, 2026), opened the series: recorded November 14 and 15, 2025, at Carlitos D'Bega Studios in Havana, it paired his core Cubadentro lineup (bassist Arnulfo Guerras, drummer Ruy López-Nussa, percussionist José Julián Morejón) with guest artists including Ben-Hur himself on guitar, saxophonists Ted Nash, Emir Santa Cruz and Janio Abreu, trumpeter Rachel Therrien, and flautist Orlando "Maraca" Valle. Ben-Hur produced the record and Bickhardt served as executive producer. Falcón returned the connection on the series' second release, Ben-Hur's own Abriendo Puertas (Dot Time Records, June 26, 2026), playing piano across the entire seven-track album, recorded in Havana with an all-Cuban band alongside bassist Pedro Pablo Gutiérrez, López-Nussa on drums, percussionist Octavio Rodríguez Rivera, Santa Cruz on tenor saxophone and vocalist Osdalgia Lesmes.

Falcón also teaches on the faculty of Ben-Hur's winter jazz camp in Havana, alongside López-Nussa, part of a wider teaching and mentoring role in Cuba's jazz scene that runs alongside his own recording and performing career. Cuban and international sources describe him as having shared stages and collaborated with a wide range of artists, including Buena Vista Social Club veterans, Herbie Hancock, pianist Chucho Valdés, Brad Mehldau, bassist Marcus Miller, singer Omara Portuondo and singer-songwriter Pablo Milanés, and he has performed at international festivals including Jazz in Marciac in France, Barranquijazz in Colombia, the Cervantino Festival in Mexico, Pori Jazz in Finland, and Havana's own Jazz Plaza Festival across multiple years from 2008 to 2020.

Falcón's music sits at the intersection of Cuban popular forms and jazz harmony and improvisation, built around the danzón, son, rumba, cha-cha-cha and bolero of his native Matanzas rather than treated as separate repertoire from his jazz playing. Cuban sources describe him as one of the leading pianists and composers of his generation, spoken of as a successor to the Valdés lineage (Bebo and Chucho Valdés) in the way he moves between concert, popular and jazz idioms within a single performance or record. His own description of Falcón In Blue as recalling the spirit of his 2010s debut Claroscuro, "expanded through new compositions, inventive arrangements and carefully chosen guest artists," reflects a working method built on returning to and reworking his own foundational material rather than starting over with each record.