Soberón's work has been in numerous exhibitions, including two important Still Life Survey Exhibitions: Silent Thing Secret Things, Still Life Painting from Rembrandt to the Milleneum, Albuquerque Museum of Art, Albuquerque, New Mexico 1999-2000 and Reflections of Time and Place: Latin American Still Life in the 20th Century, Katonah Museum of Art, Katonah, New York and El Museo del Barrio, New York, N.Y.
British Museum | Museum of Modern Art | Art Deco | Metropolitan Museum of Art | American Museum of Natural History | Art Institute of Chicago | Victoria and Albert Museum | Natural History Museum | San Francisco Museum of Modern Art | National Gallery of Art | Honolulu Museum of Art | museum | Whitney Museum of American Art | Museum of Fine Arts, Boston | Los Angeles County Museum of Art | Solomon R. Guggenheim Museum | National Air and Space Museum | Brooklyn Museum | National Baseball Hall of Fame and Museum | Art Nouveau | Royal College of Art | Walker Art Center | Hermitage Museum | National Museum of Racing and Hall of Fame | art | Glasgow School of Art | Museum of Contemporary Art | Field Museum of Natural History | Philadelphia Museum of Art | Imperial War Museum |
His work has been exhibited in New York at: Whitney Museum of American Art; the American Folk Art Museum; the Katonah Museum of Art; Sotheby's; Tiffany & Co.; the Federal Reserve Bank of New York; Denise Bibro Fine Art; the Jonathan Levine Gallery; the Aidan Savoy Gallery; the Cinders Gallery; the Front Room Gallery; the Rockland Center for the Arts, and Abingdon 12.