The stolen paintings were Pablo Picasso's 1971 "Harlequin Head"; Claude Monet's 1901 "Waterloo Bridge, London" and "Charing Cross Bridge, London"; Henri Matisse's 1919 "Reading Girl in White and Yellow"; Paul Gauguin's 1898 "Girl in Front of Open Window"; Meyer de Haan's "Self-Portrait," around 1890, and Lucian Freud's 2002 work "Woman with Eyes Closed."
Marinello said the thieves have limited options available, such as seeking a ransom from the owners, the museum or the insurers. They could conceivably sell the paintings in the criminal market too, though any sale would likely be a small fraction of their potential auction value.
The Triton Foundation is a collection of avant-garde art put together by multimillionaire Willem Cordia, an investor and businessman, and his wife, Marijke Cordia-Van der Laan.
Asenk said she spoke on behalf of the family in saying "we are shocked, but we will go on."
"All involved want the public to still be able to see these kinds of special collections and private collections," she said.
The museum was cordoned off as police carried out their investigation Tuesday, but the museum will reopen Wednesday, she said.
The Kunsthal museum is a display space that has no permanent collection of its own — the name means "art gallery" in Dutch.
The Cordia family collection includes works by more than 150 famed artists. Others whose work was on show include Paul Cezanne, Marc Chagall, Salvador Dali, Edgar Degas and Andy Warhol.
Curators of the Cordia family collection aim to have the works on display for the public, and pieces have been shown in the past.