Clean the inside of the point with alcohol. Melt glue and coat the arrow taper, I like a kinda light, kinda smooth coat. Heat the point well enough to easily melt the glue. I try not to overheat the point.
It should fit on the taper well at this point. Hold it firmly seated on the arrow. Spin check for alignment now, if you can. Be sure the point isn't loosening - it will, while the glue is hot, if you don't hold it in place with pliers. When you feel good about the fit, still holding in place, cool it with water. Done.
I do a lot (!) of stumping, and very rarely lose a point. Skip any of the above steps, and I do.