Numerical simulation of partial differential equations is fundamental for studying complex physical phenomena. However, the high computational cost of High-Fidelity (HF) methods, such as Finite Element (FE) and Finite Volume (FV) schemes, makes them prohibitively expensive for parametrized problems in multi-query contexts. Reduced Order Models (ROMs) address this issue through dimensionality reduction, maintaining reasonable accuracy. Nevertheless, this promising approach shows significant limitations in the context of hyperbolic conservation laws, where classical ROMs often fail due to the presence of discontinuities and spurious oscillations that generate physically inadmissible values (e.g., negative density or water height). This work addresses these challenges by introducing an alternative framework named the collocated Reduced Order Model (cROM), which differs from common projection-based model (pROM).