Mike Dodd wrote:
[snip]

I'm having difficulty visualising this, but as well as glueing, would
it be possible to drill a fine hole through the "rivet" and insert a
steel pin (even an expendable drill bit?) to give it some additional
strength?

Yes it would have been better if the OP pointed out what it is he's trying
to repair.

sounds like a hinge on a everyday item of use? mobile phone/Laptop?