Tarellian starships (also referred to as Tarellian plague ships) were vessels used as late as the 2360s to carry Tarellian refugees following the Tarellian Civil War. These ships were built at an underwater base located three miles below sea level. These vessels were equipped with warp drive.
In 2364, the USS Enterprise-D encountered the last surviving vessel, and its sparse crew. On board the Enterprise at the time, Wyatt Miller joined the last of the Tarellian crew, hoping that he would, some day, find a cure for their plague. (TNG: "Haven")