Hi ,
having had a good look , my two pence worth would be that you have a piece dating from the late 17th to early 18th c however an attribution to Venice is very difficult , the origins of this form are certainly Venetian but it wasn't long before glass in the "Facon de Venise" style was being made concurrently in the Low Countries , France and Spain,
Looking as best I can at the metal of yours I would think Low Countries could be as close as you can get without it actually being seen in the hand, it also looks like there is something odd going on at the base , dimples of some sort , footless examples are known but these are most often seen with either and applied foot ring or a pedestal type foot , do you think it is all as made ??
As to how much made its way to the UK from Venice in the 16th and 17th centuries the answer is vast quantities, Venice being until the late 17thc the powerhouse of glass production and there are records of the Glass Sellers Company ordering and importing huge amounts in the 17th c ,of course with the perfection of lead glass in the late 17thc all changed and Venetian glass production went into decline.
You obviously sneaked that one out of the fair before I had the chance to have a good look around , well done , and if you like pop it in a box and I will be able to give a more accurate opinion as to exactly what you have .
Cheers ,
Peter.