The starbase where Picard met Fleet Admiral Nechayev in 2370 and received orders to remove the colonists of Dorvan V under the new treaty with Cardassia.
Starbase 310 appears in the Next Generation episode Journey's End. The Enterprise calls there to take aboard Admiral Alynna Nechayev, and Picard, hoping to improve a frosty relationship, greets her with tea and her favourite Bularian canapes.
Nechayev brings unwelcome instructions. The redrawn border leaves several Federation colonies inside Cardassian territory, and Picard is to evacuate the descendants of North American Indians who have made their home on Dorvan V, by force if need be.
The visit also brings Wesley Crusher home on leave from Starfleet Academy, sullen and unhappy, at the start of the journey that ends with his departure alongside the Traveller.