The MSFS started out in November 2004 as single person effort and continues to be so, mostly due to lack of popularisation effort. It started out as Mumbai Space Society. This functioned as a chapter of the Students for the Exploration and Development of Space in India.
The name was changed to Mumbai Space Frontiers Outpost in 2007, inspired by the Moon Society system of naming a small group of people with that name (Outpost). It continued to serve as a member of SEDS till 2009.
In 2008, it also started serving as an affiliate of Planetary Society, India and continues to do so. Currently, it is primarily a chapter of the Moon Society.