I agree Ivo
There are many spiral moulded pieces with a banded white stripe that are indeed not Italian.
I chose the group of three coloured vases as they are identical to mine (bought from same shop). Two of these have G Hardy 'Italian Art Glass' stickers on - so I assume these are Italian, and the same maker as my piece.
The decanter has a red/gold made in Italy sticker to base
I feel the cylindrical vase in olive, and the green shaped vase are Italian as they have been seen with G hardy Italian sticker on - see http://i14.ebayimg.com/04/i/06/44/e4/96_1_b.JPG
The vase with stem, I chose for the stripe, I only saw while editing it had a ribbed moulding - I am open about this one.
I am glad you have come in on this Ivo as you know a lot about Italian glass. The G Hardy vases with Italian label (two shapes) - and the decanter (one shape), are they likely to be an Empoli based company and which one?
Empoli has been suggested in the thread http://www.glassmessages.com/index.php/topic,2268.0.html
- the name Alrose has also come up, but some of us tend to think that is another importer of these wares.
Any help appreciated.