Do coconuts grow in Italy?
In short, no. Coconuts need consistently high temperatures with high humidity and rainfall. Although the very southern parts of Italy probably have high enough temperatures, the Italian peninsula is very dry and sees little rainfall, in particular in the south. Some are grown privately in gardens (e.g. Sicily) and others are grown in greenhouses (various places). But the coconut (cocos nucifera) is not native to Italy or the mediterranean, it is grown widely in the tropics where it thrives on sandy beaches that can provide high temperatures, high humidity and a lot of rainfall.
