When the ancient Greeks established settlements in other countries, they came into contact with people from other cultures. How might this have affected the history of ancient Greece?

this may have affected greece's history as the foreign influence is gonna throw around a lot of the sources and whatever we know so far about greek into a lot of perspectives. for example, we hear myths about greek heroes, but we cannot be sure if those heroes' stories are told in their original tale. then we have impact on society. foreign influence can change a any society. for eg: when the british colonized india, their norms started to influence the indian society, and now present day india shares a lot of british traits as the the british themselves. then we have impact on crafts. in everry country, there is a certain way of doing, or maing anything. for example, in africa, people make all their substances with traditional handcrafted material, whereas in the US, all things are made artificially with technology and with the help of digital support, and in some cases, 3d printing. this has influenced greece in the fields of handicrafts, food, etc.

then there is the part of religion. greek religion may have changed and evolved around the centuries, but foreign influence will have made the biggest impact of greek religion.

so, yeah. that's all the foreign influence on ancient Greece