Grid-forming power inverters have become essential components in prospective electrical systems. Their increasing importance arises from the growing recognition that these devices can significantly enhance the integration of renewable energies into power grids. Simultaneously, they ensure the preservation of the grid's inertia and strength. In contrast to conventional grid-following inverters, grid-forming inverters exhibit characteristics reminiscent of synchronous generators. They can operate as voltage sources, contributing various ancillary services, especially when energy storage systems are integrated on the converters' direct current side. Regarding topology, the Voltage Source Inverter (VSI) is frequently the preferred choice for implementing grid-forming inverters. However, the Current Source Inverter (CSI) topology emerges as a notably underexplored alternative for these applications. The CSI can operate as a voltage source and employ drop control similar to the VSI topology, with the added benefit of not requiring limitations or protection for the inverter's output current, as the CSI topology manages this. A central concern is the CSI's power handling capability and operational region. This document comprehensively explores the advantages, challenges, and potential of current source converters working as grid-forming inverters. While not addressing VSIs in this paper, the analysis could extend to them, thus offering a comprehensive guide. This study examines the potential of current source converters as grid-forming inverters, explicitly focusing on their operating region. This research enhances our understanding of their role in advancing grid-connected systems and facilitating renewable energy integration.