Hello and welcome!

Do you have any examples of "copies"?
The best way to tell would be to study the real thing beside something that is not, so you can compare the quality of the work.
But if you know the look and FEEL of the right thing, when it is in your hands, you ought to be able to feel the difference even if it does look the same.
There really is nothing as good as handling a piece to be able to make any judgements about it.
Is the red face supposed to be a Bertil Vallein piece, related to his "Brains" series?
The face does look similar to his designs.

I don't think it is Vallein who actually does sign. If he did, he'd never have any time to be making anything.

I would think Mexican glass would have more air bubbles in.
