Espoir Station was tasked with studying Gravity's End, the only known example of a proto-universe phenomenon.
In the late 2260s, the station was under the command of Doctor James Munroe, a native of New Texas on Earth. During his administration, he agreed to have Espoir become the headquarters of a superweapon project led by Ies Bredell, a Vardaine scientist who sought to use the enormous power of Gravity's End to destroy the Federation.
As a result of its involvement with Bredell's scheme, Espoir's weaponry was upgraded to include a modified tractor/overload beam; it also received a detachment of Vardaine offers in Bredell's service to maintain security on the station, including Menao Sheme. In addition to such on-site security measures, Elasi pirates in league with Bredell patrolled the space around Espoir.
Upon receiving a transmission originating from near Espoir from the time-traveling USS Alexander warning of the Federation's destruction, the USS Enterprise traveled there to investigate. It's mission was successful in defeating Munroe and Bredell's scheme, and the station was subsequently returned to Federation control. (TOS video game: Judgment Rites)