Miami is city in Florida on Earth.
In the 2370s, Miles O'Brien's grandmother lived there. (DS9 novelization: Trials and Tribble-ations)
In 2375, Vic Fontaine claimed he had been with Carl Zeemo's girlfriend in Miami to buy time while the Deep Space 9 crew robbed the lounge's casino. (DS9 episode: "Badda-Bing, Badda-Bang")