One obvious integration point would be to make the Gungans into Mon Calamari though I concede it would be easier the other way around.

Both are aquarian races.

They book-end the saga.

Shield technology is comes into play in both plots.

You could even make a good case for having Endor their world which they share with the Ewoks.

And Padme (Queen of Alderaan) could have stolen their sacred energy pearl which can be used to generate a powerful force field.

One could be in the dish bunker and protecting the second Death Star.