I'm from Asia myself, but I have say the Asian food in Switzerland is quite disappointing.
Some places I still can recommend:
1. Cha cha (Bern westside) Thai/Chinese food, nice interior design, great after a shopping day/spa day in the mall
2. Mekong (next to the Spaghetti Factory right on the corner of McDo at Zytglogge) food is tasty, good service, small place for 10-15 persons, always fully booked in the evening, so early reservation is recommended
3. Borky (Hirschengraben, in front of the cinema, next to the Starbucks) food is good and "authentic". Probably the best you could get in bern, but still can't compare with Chinese standard...
4. Chinese take away, Monbijoustrasse (in front of the kisser training gym) I go there very often, just because it's just a hop away from my place.
Connecting with Chinese/Asian expats in Bern/Switzerland, there is a
Facebook group you've just missed the last meet up which was last week Sunday in Bern...they do organize different meet ups regularly.