A term which may not be so popular in China is near-native.

It denotes someone who can use a foreign language at a level very close to a native speaker of the language.

I captured a few resources on this to share with you folks here:-

What Is a Near-Native Speaker?
... for most job searches in clude only passing attention to the candidates' ability to speak the language with the precision and elegance over a range of contexts and functions that the term near-native ...

www.mla.org/adfl/bulletin/V30N3/303054.htm Cached page
The Construct of the Near-Native Speaker in the Foreign Language ...
The Construct of the Near-Native Speaker in the Foreign Language Profession: Perspectives on Ideologies about Language

www.mla.org/adfl/bulletin/v29n3/293004.htm Cached page
Show more results from "www.mla.org".
Writer's Block, Essay, Native or Near-native: What's the Difference ...
Native or Near Native: What's the Difference? by John Humpert Whom do you trust to build your culturally sensitive bridge to international business: a native or near-native speaker

Have a great day,
Martin Yau, Shenzhen/Hong Kong