One of the few very useful books I don't have is the Andy McConnell book on decanters - which nowadays seems to be fetching big money, unfortunately, although whether this would help with your piece I really don't know. I suspect any help would be limited in this instance, as your example is probably a common late C19/C20 type - which, incidentally, is also known as a shaft and globe shape and would have been for sherry, which am sure you knew.
However - glad you found the matching No. - but have to say that I'm truly surprised it's that high numerically - we had a brief discussion here recently about matching Nos., and must admit I've not seen anything hight than something in the 70's - perhaps someone had a busy day!
Decanters aren't really my thing - footprint is big and they seem to be even less identifiable than drinking glasses, so knowledge is limited but can say that this saw tooth feature seems to have come in around 1840 - 50 and certainly went into the C20.........it's a type of decoration that you've probably also seen on drinking glass stems - often sherry and port glasses - also on those tall hock glasses, the ones where the bowl is cased in colour (maybe eastern European in origin), so as a feature not reliable for a narrow date.
You don't mention wear - and difficult to date on picture alone, but could be anywhere from 1880 - 1930 ish. Sherry decanters from the second half of the C19 were decorated often by means of wheel engraving (although this one is simply 'cut'), and vine leaves with bunches of grapes was a common form of decoration. Look at the colour of the glass - if it looks very white and bright, it might well be much later still. Nice to see the strawberry diamonds - although they don't help date the piece - and no lack of skill in producing long curved mitres like these. If this is period, there should be a lot of matt wear on the base - if wear is lacking then it's going to be much later. Also, if the overall condition is very good, then possibly not old, decanters tend to suffer wear and show chips (glass hitting glass causes damage).
I mis-interpreted your use of the word European (and assumed you meant Continental) - what did you meant by European?
Does the 7 have a slash?
Shove in some sherry - just admire it (then drink some).