Out of Africa .... in the other direction.

Research by geneticists and archaeologists has allowed them to trace the origins of modern homo sapiens back to a single group of people who managed to cross from the Horn of Africa and into Arabia. From there they went on to colonise the rest of the world.

Homo sapiens, known casually as "modern humans", are thought to have first evolved around 195,000 years ago in east Africa – the earliest remains from that time were uncovered near the Omo River in Ethiopia.

http://www.telegraph.co.uk/scienceandtechnology/science/sciencenews/5299351/African-tribe-populated-rest-of-the-world.html