I think this is happening in a lot of countries, the capital cities in particular attract a large diversity of population. I was curious so spent a few minutes exploring figures.
In London 36.7% are Foreign-Born, rising to 42.2% for Inner London. [0]
Paris is about 21% [1]
Berlin is 18.4% [2]
New York city is 36%, Los Angeles is 41% [3]
In 1976, less than one in four Sydneysiders was foreign born. Forty years later the figure is nearly 40 per cent. [4]
[0] https://en.wikipedia.org/wiki/Ethnic_groups_in_London#Foreig...
[1] https://archive.vn/20150404125339/http://insee.fr/fr/themes/...
[2] https://www.businesslocationcenter.de/en/business-location/b...
[3] https://en.wikipedia.org/wiki/Demographics_of_New_York_City#...
[4] https://www.smh.com.au/interactive/2018/the-world-loves-sydn...