To date, over two thousand exoplanets have been discovered in multiple-planetary systems, showcasing a remarkable diversity of architectures, many of which differ significantly from our Solar System. Despite this, fewer than a dozen have been detected through microlensing. Using VBMicrolensing code—a tool capable of calculating magnifications for complex lens systems, including triple-lens configurations and beyond—we conducted an in-depth study to evaluate the Roman Space Telescope’s potential for identifying such systems. Preliminary simulations indicate that Roman could detect triple-lens planetary systems in approximately 15% of cases where the source passes close to the central caustic, demonstrating its promising capability in probing multi-planetary systems.