This name is a synonym of Tillandsia duratii Vis..
The record derives from WCSP
(data supplied on 2012-03-23)
which reports it as a synonym (record 464526) with original publication details: Ann. Hort. Belge Étrangère 20: 102 1870.
This name record (from WCSP) 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 Wallisia duratii in version 1 of The Plant List.