This name is a synonym of Parodia mueller-melchersii (Frič ex Backeb.) N.P. Taylor.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50180530) with original publication details: Cact. Consensus Initiat. 6: 11 1998.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:1005814-1.
This name was in version 1 of The Plant List, record tro-50180530.