If you are talking about taking a long tapered punch and driving it into a long tapered hole with hot steel between and expecting a socket, I think you may have a fight on your hands. That is basically a deep drawing operation and takes a lot of oomph - although I suppose a progressive die would work and maybe that is what you are describing. Now, on the other hand, a half-funnel shape in a block of steel with matching tapered mandrel will allow a quick roll up - although there will obviously be a seam down the side.
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