How did noodles find their way to Italy?

I don't think it is a matter of noodles finding their way to Italy but of the typical preparation of food using dough, cut into strips or pieces, becoming various forms of pasta including noodles. The process is roughly the same, make dough, roll it out, cut it, dry it, shape it, cook it in fastly boiling water.

When there is a choice of flour, say wheat or tapioca or semolina, you change the nature of the dough and the flavour and texture of the pasta. Noodles can be seen as just one variety of pasta, similar to spaghetti in many ways but using different flour and length.