In the 1960s he had an important show at the Palacio de Bellas Artes (1966) as well as an exhibit of a series of portraits her created with only Lupe Marín as model at the Misrachi Gallery. In the 1970s, he received a grant from the Fundación Cultural Televisa to create thirty largescale works and thirty small ones which were then exhibited at the Museo de Arte Moderno. In 1993, he had an exhibit of sculpture at the "Colegio de Jalisco" and the "Instituto Cultural de México" in San Antonio. His last major exhibits before his death included the "Centro Cultural Español de Cooperación Iberoamericana" in Miami (2001), the "Real Casa de Correos" in Madrid (2002), the Meadows Museum and Southern Methodist University (2002), the "Instituto Italo-Latino Americano" in Rome (2003) and multiple exhibitions at the "Instituto Mora" in Mexico City (2005). During his career, Soriano created a number of monumental sculptures which can be found in Mexico and Europe. These include "El Toro" at the Tomás Garrido Canabal Park in Villahermosa (1987), "La Paloma" at the MARCO Museum in Monterrey (1989), "La Ola" for the World Trade Center in Guadalajara (1989), "El Caracol" for the Amparo Museum in Puebla (1989), "La Luna" for the National Auditorium in Mexico City (1993), "La Sirena" for Plaza Loreto in Mexico City (1994), Dafne for the Arcos-Bosques Building (1995), "Mano" for the Herdez Group headquarters (1995), two sculptures for the Expo Hannover 2000 in Germany, six monumental sculptures for different parts of Mexico in 2003 and several of his works can be found in a park in Warsaw. Soriano dedicated much of his career from the 1930s to 1960s to the theater, starting as a child working with puppetry. Much of this work was with a group he created with Jaime García Terrés, Leonora Carrington and others called Poesís en Voz Alta, noted by Carlos Monsiváis as a “liberating movement of the theater” in Mexico. Most of this work was in set and costume design, such as for the "Teatro del Sindicato de Electricistas", "Teatro Orientación" (with Celestino Gorostiza), "El Caballito" Theater and "Teatro Sullivan".