Founded in 1969, it plays in Primera Autonómica de Aficionados – Group 2, holding home games at Campo Municipal La Aldehuela, with a capacity of 2,000 people.

[citation needed] In late June 2019, Móstoles Balompié reached international attention after their president Javi Poves opted to change the club's name to Flat Earth FC, and publicly endorsed modern flat Earth beliefs.

[citation needed] In December 2020, Poves resigned from his president role.

[citation needed] On 6 July 2021, Flat Earth was bought out by CF Fuenlabrada and became their reserve team, being renamed CF Fuenlabrada Promesas and taking their place in the new Tercera División RFEF.

[citation needed] Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.