A mesostructured aluminosilicate material is described, constituted by at least two spherical elementary particles, each of said spherical particles being constituted by a matrix based on silicon oxide and aluminium oxide, having a pore size in the range 1.5 to 30 nm, a Si/Al molar ratio of at least 1, having amorphous walls with a thickness in the range 1 to 20 nm, said spherical elementary particles having a maximum diameter of 10 μm. A process for preparing said material and its application in the fields of refining and petrochemistry are also described.