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...I've had pretty good results using a piece of baling wire ( which bends easily, but is still stiff enough to snake through the tubing and hit the hole at the other end) and then attaching the uncut end of the new cable to the end of the baling wire using an appropriately sized piece of heatshrink. Then you just pull the cable on through. If youi already have a cable in place, use the heatshrink to attach your new cable end to the end of it.
Just recabled a Pinarello that way last month.