What do you mean by their culture changing exactly? I don't see China attempting to import millions of Indians or Pakistanis. I don't see any country in asia facing immigration to the point that their dominant culture is affected in any way, really. You mean they're addopting technological innovations that are changing their culture? That's not exactly the same thing.
Religion and traditions are loosing grounds. The youth is less following the family rules. The way of life is changing, it's becoming more similar to the one of Europe.
Technological adoption leads without a doubt to cultural change and way more dramatically that immigrants.
In the countryside of Switzerland where I spent my youth, they were nobody from foreign descent beside me. There were cultural difference with the city where immigrants live but nothing dramatical, the swiss from foreign descent have almsot the same way of thinking than swiss from swiss descent. Immigrants are a drop of water in an ocean, they can not make big cultural change. They are nothing in comparison to the power of time on the culture.
It is juste like a dilution, if you put two colored drop of water in contact, the smallest will be incorporated and its color will change radically while the biggest one will only slightly change. (and in the case of human that small change will be for the best. The greater the variety, the better the life is. That goes for women and food for exemple)
Btw Europe is not attempting to import immigrants, it is facing an immigration and trying to deal with it.