In the AC surrounded Multi-terminal HVDC (AC-MTDC) grids, the substantial growth in Renewables-based Power Generation (RPG) out-turn high inertia into low or Zero-Inertia systems and are the near future of the transiting power systems. In this context, it necessitates the development of a Zero-Inertia AC-MTDC grid test system and appropriate control strategies for the satisfactory operation of the system. Thus, this paper develops the Zero-Inertia AC-MTDC grid while replacing the synchronous generators with the Inverter-Based Resources (IBRs). Besides, it utilizes the Grid Forming (GFM), Grid Supporting (GST), and Grid Following (GFL) control strategies for the Zero-Inertia AC-MTDC grids. The GFM and GST control modes are utilized to start up the system and improve the system’s frequency and dc voltage profiles in a decentralized manner during any imbalances in the grid. Moreover, the GST mode is achieved in this paper through a conventional fixed droop and proposed Modified-Operating Point-based droop (MOPD) control strategies for Voltage Source Converters (VSCs) connected to grid and wind farms in the AC-MTDC grids. The significance and validation of these control modes are perceived through the various case studies with a developed Zero-Inertia AC-MTDC test system and inertia AC-MTDC grid in the PSCAD/EMTDC simulation.