AppleCare+ outside of region

the back of my iphone is broken last month. I bought it in HK and the care+ still valid till end of Jan next year. However the problem is that i resident in Europe now. While checking online Apple support in Austria, they appoint me to offline store and saying that they could find a solution. I made appointment and went there only finding out that they wasn't able to take care of Apple products purchased in HK. I called HK supports, they are asking me to return to Hongkong or mail it back to someone in HongKong to take care of it at my own cost...it will be very costy and risky for me.

Since i will be in Europe for a long while, I have started to worry about all my apple devices and considering canceling all care+ and get refunds. is it possible?