Good question - I've no idea. From the packages and solitaire sets they appeared in within the UK I think Veiligglas's production may have been at it's height in the 50's through to late 60's. Other European companies may have produced them - I've seen references to Hopf a German maker/distributor from the late 60's but know nothing about them.
Champion produced some swirls that could be described as wirepulls, and I suspect other WV makers did too, but whether they were intentionally made as wirepulls or just happened not to touch I don't know...
Someone with more knowledge than me might know whether they were made as transitionals.