I'm sorry, but I have my doubts you could ever create this design with metal wires.
I would have suggested using either epoxy resin or a similar glue or a slightly flexible power adhesive, but there are several problems:
- The overlap in the blue circle is very thin (fragile), but has to withstand high leverage forces because of the long structure attached to it. You need to join both symbols in the bottom margin of the design as well to make it more stable.
- You need to roughen the surface of the metal to give the adhesive something to grab onto. This can be done with a nail file or a knife, but it might bend the wires too much.
- Epoxy is a strong adhesive, but it's inflexible and no more solid than plastic, so it breaks easily if it's too thin.
- A flexible power adhesive doesn't break, but in general it needs a bigger surface area to be able to hold objects together. Many power adhesives have to be "activated" by applying a force, which would bend your pendant.
- The adhesive will show. There's not a chance you can apply so little adhesive that it won't be squeezed out but still hold both pieces together. In fact, the safest solution would probably be to completely coat the juncture in resin.
Instead of trying to glue wires together, I think you could try sawing the pattern out of a solid metal plate. Then everything is connected from the beginning and you don't have to solder / glue pieces together.
Or you could encase the whole design in resin (like a mosquito in amber). A google search for "resin jewelry" yields many different approaches (with and without molds) and products (resins and accessories).