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Falconvitesse is right - this is a special machine and it deserves special treatment.
I think the statement above that 'the shell seems to have tapered ' is misleading - surely it has splayed out; that's to say the right hand side has become enlarged. This is not a rare problem - I remember being in Ken Ryall's workshop and going through a box of assorted BB cups looking for a slightly larger one - Ken claimed the diameters varied slightly.
If I'm correct in thinking that the shell has stretched, a deeper cup will not solve the problem because although it may be tight in the thread at its inner end, it will still be loose at the outside end of the shell. Surely this is where most of the stress occurs and the result will be more movement and more stretching.
A technique which is proven to work in this situation is what I will call The Dave Russell Method.
Braze a collar onto the underside of the bracket shell, hacksaw a cut through the shell and the collar, refit the cup, insert a bolt through the collar and tighten, thus clamping the shell onto the cup. Touch in the burnt paint and you're ready for that Alpine tour or road race victory!
Of course, there may well be less drastic methods that I don't know about, but this will get you back on the road as a last resort.
I've had a look on eBay but there doesn't seem to be many options I must admit.
Do you have an appropriate chainset for the bike. I think it deserves something special, as you have gone to all the trouble of fitting the Cambio gear.
I know Bayliss Wiley have deep cups and they do a BB set with a sleeve which works on frames with damaged bracket threads. Whether they do an Italian size or whether you could get something similar from another brand I'm not sure.
I will keep an eye out
Excellent by the way can you tell us more about the frame?