The behaviour of Deformable Geosynthetics-Reinforced Barrier (DGRB) is investigated with reference to the dynamic impact of debris avalanches. The aim of these barriers is to protect life of inhabitants and reduce the threat for the exposed structures. A Finite Difference Method code (FLAC, Itasca) is used and the dynamic impact is simulated as an external pressure applied over time to the barrier. The peak lateral pressure exerted by a debris avalanche is evaluated by a literature formulation including a flow-height dependent static component and a flow-velocity dependent dynamic component. Real values of height and velocity of debris avalanches are taken from previous research works. The trend of the pressure during the impact is obtained from the landslide volume and the impulse theorem. The DGRBs are composed of: i) coarse-grained material, ii) bidirectional PET geogrids; iii) external formwork. The soil-geosynthetics contact is simulated through a frictional interface. The several components used in the wrap-around technique are simulated following two different schematizations and the differences between them are highlighted. The used mathematical formulation allows reproducing the impacted barrier both in small and large displacement cases. The local and global displacements of the barrier, its failure mechanisms and the soil-geogrid interaction inside the barrier are investigated. The results outline the differences between the two ways of modelling the wrap-around technique. In particular, the computed global displacements are comparable in the two computational schemes while the simulated stress-strain responses of the structural elements are somehow different.