rebs
What is the glued end made from? Brass?
You need to look at a hardware store or hobby store, for small diameter aluminum or brass rod or screws. You want something that goes through the end, but is flush, and that won't scratch the bore. You might even use nylon or fiberglass, but brass would be nice if it matched the end.
With a brass or aluminum pin, you could brad the ends to retain the pin, as well as gluing it in place. Hobby shops have small diameter solid rods in foot long pieces.
There are some really small brass ( not plated ) countersunk screws. You could drill a pilot hole, countersink the head into the end piece and glue the screw in place. Then file the screw head smooth if necessary.
After all that...just had a brain storm...what about using the 'nail' part of a pop rivet? Bet you have some of those.