In Havana, Altolaguirre and Méndez founded another printing company, La Verónica. They published works by Cuban writers such as José Martí, Emilio Ballagas, Juan Marinello, Regino Pedroso, and Manuel Navarro Luna; and they edited selections of Spanish poets, both classical and modern (Garcilaso, Antonio Machado, Garcia Lorca, and Miguel Hernández). Altolaguirre collected in Nube temporal (1939) his poems written before and during the war. His circle of Cuban friends included the painters Carlos Enríquez, and Mario Carreño, and the director of the Prado Gallery, María Luisa Gómez Mena.

La Verónica also printed the official magazine of the Spanish exiles in Cuba, Nuestra España (1939-1941). The editor was Álvaro de Albornoz, and the magazine published works by María Zambrano, Alfonso Rodríguez Aldave, Bernardo Clariana, José Rubia Barcia, Ángel Lázaro, Altolaguirre, and Méndez. The Altolaguirres also collaborated with the Cuban periodicals, Espuela de Plata, Lyceum, Ultra, and Universidad de La Habana. In the summer of 1940, Altolaguirre published his own magazine, Atentamente; he released in two issues his memories of the traumatic days that had lived incarcerated in a French mental hospital at the end of the war.

Despite its constant ups and downs, La Verónica continued to print books during 1941 and 1942, among them, the catalog of Mario Carreño’s exhibition, a second edition of Sóngoro cosongo, by Nicolás Guillén, El solitario. Misterio en un acto, by Concha Méndez, and a new version of Altolaguirre’s La lenta libertad. In October and November of 1942, they printed the six issues, in a small format, of La Verónica, with works by Cuban writers such as Lydia Cabrera, Mariano Brull, Agustín Acosta, and Cintio Vitier, alongside with those by Spanish writers such as Pedro Salinas, Jorge Guillén, Rafael Alberti, and Emilio Prados. The Altolaguirres were no longer able to maintain themselves financially, and they finally decided to leave the island in March of 1943. They left behind a printing and publishing production that exceeded the two hundred titles.