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Can you get to it to drill a pilot hole in the remains of the bolt?
If so then something like this will hopefully get it out: https://www.amazon.co.uk/Draper-Expert-45856-5-Piece-Extractor/dp/B0001K9UEG
Advance warning, if you're applying some serious torque to get it out there is the possibility you can snap the extractor off in the remains of the bolt which makes a right mess of the job. The harder tool steel of the extractor is a nightmare to drill out.
Judicious application of PlusGas (not WD40) may also help.
Bit of an awkward problem with the Guzzi. Somewhere between London and Cornwall at the weekend, one of the bolts holding the pannier frame sheared off (vibration I guess). Panniers are held by three bolts each side, so was in no real danger of actually losing one, but it was very vibey until I noticed, ducked into a tool shop and did the journey back with the frame lashed on with ratchet straps, just to be on the safe side.
The annoying bit is that the offending bolt is right under the seat, so hard to get at, and sheared flush, so there is no way of gripping it with anything to try and undo it. It is going to be a bugger of a job to try and drill out...