From my observation, many male damselflies species show very strong territory behaviour. They will find a good breeding ground which then becomes his territory. The size of the territorial area varies with different species. For eg. the Libellago family usually establish their territories ranging from 1.5 to 3 metres. The males would perch on their favorite spot and overlook their territory. If another male of the same species attempts to take his territory he will then try to chase him away. If any mature receptive female enters his space, he will attempt to mate with her. It is unlikely to see two males of the same species become good neighbours. However, the territory holder is more tolerant to other males or females of different species as demonstrated by the 2 images below:
Male dragonflies are equally territorial as well. However, when the areas are small with very few nice spots to perch, they have no choice but to become temporary good neighbours as seen below:
So, can dragonflies and damselflies be good neighbours?
Of course, they can 🙂