Typecasting is a big problem in general but especially if they're not native English speaking actors. Just look at someone like Michelle Yeoh or Hiroyuki Sanada or even Antonio Banderas. The roles Banderas gets in Spain are much more interesting and complex than most of his Hollywood output and he's one of the more fortunate ones. Michelle Yeoh has been working in Hollywood for literal decades and she's almost never had a role that asks her to be more than cool martial artist lady. Ditto Hiroyuki Sanada.