Imports In 2009, Cook Islands imported $8.25k in Marble, Travertine and Alabaster, becoming the 0th largest importer of Marble, Travertine and Alabaster in the world. At the same year, Marble, Travertine and Alabaster was the 0th most imported product in Cook Islands. Cook Islands imports Marble, Travertine and Alabaster primarily from: N/A.