Born in Buenos Aires.
Had his first drawing experiences through his father, who taught him the only thing he knew how to draw: trees.
He went to UBA, School of Sociology. He found there was a restrained atmosphere, and most students had ideas opposite to the military régime.
As Reyna was summoned for military service -draft was compulsory in those days-, the war for the recovery of Malvinas broke out -a subject he would deal with in a brief series of war paintings.
Rafael Bueno presented "Los últimos pintores" (The Last Painters), a group made up by Sergio Avello, Alejandro De Ilzarbe, José Gaófalo, Gustavo Marrone, Miguel Harte, and Martín Reyna.
Martín Reyna, José Garófalo and Duilio Pierri, Luis Pereyra and Armando Rearte presented the "D Line Project" to the Buenos Aires Subway Company; they volunteered to paint the advertising panels at Callao Station.
Gallery M-13 in the East Village of New York City invited Rafael Bueno, Guillermo Kuitca, and Martín Reyna to take part in an exhibition titled "Latin Americans in New York".
He arrived in Paris for an exhibition organized by Phillippe Cyroulnik, titled "El taller de Buenos Aires" (Buenos Aires Atelier), where he showed his work, together with Pablo Suárez, Roberto Elía, and Jorge Macchi.
He traveled to London, where he had the chance to see William Turner's paintings and attended a retrospective exhibition of Gerhard Richter's work.
The Michel Vidal Gallery offered him his first solo show in Paris.
He worked both in Buenos Aires and Paris. There, he saw Bill Viola's work for the first time at the Chapelle de la Salpêtrière; he was mainly impressed by a video where the figure disappears under water: it begins with a drop and ends up with a mass of water that dissolves the figure.
This idea of dematerialization always interested Reyna, and water would be a constant element in his paintings.
He was awarded the Jean-François Millet Second Prize by the International Visual Arts Society of Valognes, and began working in his present studio at the Rue Nationale, 13ème arrondissement, in Paris.
He received financial backing from Fundación Antorchas, Buenos Aires, to develop a stage of his work based on a series of "Abstract Landscapes".
His daughter Anna Reyna was born.