1931: inherited by Nelly van Doesburg (1899-1975), Meudon, from Theo van Doesburg (1883-1931), Meudon

1979: purchased by Baron Hans Heinrich Thyssen-Bornemisza (1921-2002) from Andrew Crispo Gallery

Retrospektiv Theo van Doesburg, Landesmuseum, Weimar, 16 December 1923–23 Ianuarius 1924, cat. no.  28, as Komposition XX, 1921.

Retrospektiv Theo van Doesburg (?), Martius 1924–15 Aprilis 1924, Kestner Gesellschaft, Hannovera

, no catalog.

Les Surindépendants, 26 October 1929–25 November 1929, Parc des expositions de la porte de Versailles, Lutetia, Cat.no. 302, as Composition, 1920.

‘1940’, Deuxième exposition, Rétrospective Van Doesburg, Parc des expositions de la porte de Versailles, Lutetia, 15 Ianuarius 1932–1 Februarius 1932, cat. no.  41, as Composition, 1920.

Theo van Doesburg, Stedelijk Museum, Amsterdam, 2 Maius 1936–31 Maius 1936, cat. no.  50, p. 102, as Compositie, 1920.

Liniens Sammenslutning, Efter-expressionisme, abstrakt kunst, neoplasticisme, surrealisme (?), Den frie Udstilling's Bygning, Hafnia, 1 September 1937–13 September 1937, cat. no.  16, as Toile composition, 1920.

Art Concret, 15 Iunius 1945–13 Iulius 1945, Galerie René Drouin, Lutetia, Cat.no. 11, as Composition, 1920.

Theo van Doesburg, Retrospective exhibition, Art of this Century Gallery, Novum Eboracum, 29 Aprilis 1947–31 Maius 1947, cat. no.  26, as Composition, 1919-1920.

Walt Kuhn, Lyonel Feininger and Theo van Doesburg (?), Iunius 1947–15 Iulius 1947, County Museum of Art, Los Angeles, no catalogus.

Theo van Doesburg, San Francisco Museum of Modern Art, San Francisco, 29 Iulius 1947–24 Augustus 1947, no catalogus.

Theo van Doesburg, Paintings, drawings, photographs and architectural drawings, The Renaissance Society of the University of Chicago, Chicago, 15 October 1947–8 November 1947, cat. no.  25, as Composition, 1920.

Theo van Doesburg (?), Cincinnati Art Museum, Cincinnati, 20 November 1947–12 December 1947, no catalogus.

Exhibition Van Doesburg, Robinson Hall, Harvard University, Cantabrigia, 5 Ianuarius 1948–23 Ianuarius 1948, cat. no.  26, as Composition, 1919.

Painters of De Stijl. Debut of abstract art in Holland, 1917-21, Sidney Janis Gallery, Novum Eboracum, 17 Maius 1951–2 Iunius 1951.

De Stijl, Stedelijk Museum, Amstelodamum, 6 Iulius 1951–25 September 1951, cat. no.  81, as Compositie, 1921.

25th anniversary exhibition. From Picasso to Dubuffet, from Brancusi to Giacometti, Sidney Janis Gallery, Novum Eboracum, 2 October 1973–3 November 1973, ill. 123.

Mondrian und De Stijl, Galerie Gmurzynska, Colonia Agrippina, Maius 1979–Augustus 1979, without cat. no.  , p. 109, as Composition, 1919.

Masters in 20th century art, 2 October 1979–3 November 1979, Sidney Janis Gallery, Novum Eboracum, no catalogus.

The spirit of modernism. The Tremaine Collection: 20th Century masters, 26 Februarius 1984–29 Aprilis 1984, The Wadsworth Atheneum, Hartfordia, as Composition, 1919.

Meisterwerke des 15.-20. Jahrhunderts aus der Sammlung Thyssen-Bornemisza, Nationalgalerie, Budapestinum, 3 October 1985–1 December 1985, Neue Galerie, Sabaria, 13 December 1985–9 Februarius 1986, Cat.no. 42, p. 121, as Kompozíció, 1919/1920.

Pioniere der abstrakten Kunst aus der Sammlung Thyssen-Bornemisza, 1 September 1986–30 September 1986, Galerie Gmurzynska, Colonia Agrippina, p. 82.

Wege zur Abstraktion. 80 Meisterwerke aus der Sammlung Thyssen-Bornemisza, Villa Vauban, Luxemburgum, 30 Aprilis 1988–18 Iulius 1988, Haus der Kunst, Monacum, 13 Augustus 1988–9 October 1988, Museum des 20. Jahrhunderts, Vindobona, 10 November 1988–15 Ianuarius 1989, Cat.no. 15, p. 52-53, as Komposition, 1919-1920.

AnonymousUnknown author, Museo Thyssen-Bornemisza, as Composición XX, 1920.

AnonymousUnknown author, RKDimages, Art-work number 215665, as Composition XX, 1920

Merz, no. 2 (Aprilis 1923): p. 21, as Kompositie 20. See Digital Dada Library.