Pomace produced during the apple juice production is composed mainly of cell wall polysaccharides, which constitute a dietary fibre. Since those compounds can be cross-linked with some divalent metal ions according to an egg-box model, they cause the viscosity of aqueous solutions to significantly increase. The apple pomace analyzed was physically and chemically transformed in order to obtain an MPSN polysaccharide matrix. The objective of the research study was to determine the ability of MPSN polysaccharide matrix to cross-link by means of the divalent metal cations of Ca²⁺, Mg²⁺, and Fe²⁺. On the basis of the increase in the apparent viscosity of the solutions analyzed, it was found that each ion applied had the cross-linking ability; however, the greatest degree of cross-linking was obtained by the Ca²⁺ and Fe²⁺ ions. The flow curves of MPSN matrix were described by an Ostwald de Waele’s model. The MPSN solutions with calcium ions added at 12 and 15 mM concentration rates were characterized by the lowest flow behaviour indices and, thus, by the highest pseudoplasticity degree. In all the analyzed samples, a thixotropy phenomenon occurred: in the case of Ca²⁺ and Fe², this phenomenon depended on their concentration rate. This fact proves their ability to regenerate structure during relaxation.