We did a post last year about repairing handles that separate from the pot. The results were not great; the metal is too thin for arc welding, and brazing worked, but the appearance was marginal.
Reader Daniel took a much simpler approach to repairing his sauce pan:
I drilled out the eight old attach spots with a 7/64 bit, reattached the handle with 1/4″L No. 3 stainless pan head machine screws, flat washers, lock washers and nuts. 3/16″ L may also work. Works better than new! Don’t throw them away; fix them!
Here are some pictures of the result. I like it; it is simple and works.