|Owner:||United Federation of Planets|
|Display graphic depicting the Trieste serving in Picard's fleet (2368)|
The Trieste was the nearest starship to Starbase 74 in 2364, when the USS Enterprise-D was hijacked from that facility. It was suggested that the Trieste might be able to intercept the Enterprise. Unfortunately, the Trieste was determined to be too small and too slow to render assistance, on top of the fact that it was sixty-six hours away at the time. (TNG: "11001001")
In 2368, the Trieste formed part of the blockade fleet dispatched by Jean-Luc Picard along the Klingon-Romulan border during the Klingon Civil War. It was positioned between the USS Hood, USS Endeavour, USS Goddard, and USS Ahwahnee. (TNG: "Redemption II")
In the episode "Brothers", the Trieste was identified as a Yosemite-class starship with the registry NCC-37124.
During one of the Star Trek: Deep Space Nine kitbash rounds, a model of this ship was constructed. The ship was given the number NCC-3724, being only one digit short of the established registry. Several polaroids, provided by Dan Curry to the Flare Sci-Fi Forums, were taken of this ship, along with the USS Antares and the Excelsior-class USS Excel (NCC-2020).  There is no evidence that this model appeared in an episode.