Is there a quick and easy way for a person based in Europe to invest in a startup (incorporated) in Asia?
Maybe Jarie or some of the other people more experienced in venture capital deals will chime in...
For now just 2 quick thoughts:
There is no "quick and easy way" in any investment. You should have deep knowledge in area (economical and geographical) you invest. Knowledge in local laws concerning the investments etc. As Joel mentioned, it depends on the countries, so be more specific.