I hate to be the bearer of bad news, but if you compare them to the other pictures in the gallery you can see the similarities (The plants are eerily similar), but also the distinct differences (spinage, how flowers are carried). If you google Parodia magnifica you will see that the flower and plant in your pictures are a clear match. I am attaching a couple of pictures that I was going to upload to the database entry of a flowering F. glaucescens, with one showing an overview of where the flowers occur and the other a close up of the flower. The flower is very similar, but you can see that they are carried further from the crown of the plant than the flower on the P. magnifica, and you can also see the distinct difference in the spines of this plant and the spines on yours.
It is funny that I came across the pictures of your plant as I had just been thinking I would like to try one of those...