He was a central figure in early Danish experimental art and introduced French cubism to Denmark.
Lundstrøm spent an extended period in France in the 1920s where he was influenced by Braque, Picasso and Cézanne.
He resided at Cagnes-sur-Mer (1923-32), during which period he painted his Portrait of Tusnelda Sanders (1928), currently in Oslo at the National Museum.
He is remembered for his geometric still lifes with oranges, his cubistic scenes with nudes and his paintings of bottles, flasks and jugs.
In his later years, Lundstrøm adapted his style to looser modern art with contrasts in colors and form.