This name is a synonym of Sauroglossum nitidum (Vell.) Schltr..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 23516473) with original publication details: Fl. Flumin. Icon. 9: t. 52 1827.
This name record (from Tropicos) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Serapias nitida in version 1 of The Plant List.