Problems. Eucalyptus suffer from few problems, but look out for slightly raised swellings, about 1mm (1/16in) in diameter, on either side of eucalyptus leaves. If they are pinkish-brown galls, which are hollow and contain a tiny grub, it is eucalyptus gall wasp.ultivation notes. It is advisable to only buy small specimens of up to 1m (3ftÂ¼) tall. Eucalyptus are prone to windrock and, if planted too large or when even slightly rootbound, there is the strong possibility of the top growing more quickly than the roots, resulting in a lack of stability.