Not Venini, I'm pretty sure, both by instinct and by looking through a couple of Venini books. I don't know the quality of the glass, but I'm not wild about the shape. It looks clunky to me, not like the Fratelli Toso piece in the link you supply. To my eye the FT piece curves gracefully round the handle, and narrow equally gracefully at the base. It flows, whereas your piece is more squat and less fluid. I've got a couple of Murano baskets and some Skrdlovice baskets too and this isn't close to any of them.
My guess would not Italian, perhaps Eastern European.