Hellenistic period
Despite their initial reluctance, the Successors seem to have later deliberately naturalized themselves to their different regions, presumably in order to help maintain control of the population. In the Ptolemaic kingdom, we find some Egyptianized Greeks by the 2nd century onwards. The Indo-Greek kingdom, we find kings who were converts to Buddhism (e.g. Menander). The Greeks in the regions therefore gradually become 'localized', adopting local customs as appropriate. In this way, hybrid 'Hellenistic' cultures naturally emerged, at least among the upper echelons of society.

Q: Greeks adopted what from local cultures?
customs