What are the best methods for transferring money from Thailand to the EU without high fees?

Hello there, asking for advice regarding money transfers to the EU (Austria). I have been sending money to my daughter (just small amounts, less than EUR 800 every other month) via Western Union without any problems. Last Thursday they suddenly declined and asked me to fill in a document requiring the birth certificate of my daughter, my pension certificate and what not. I find that a bit too much, especially given the fact that they accept payments into Thailand without much ado. Anybody knows a way around or a better option to send money to the EU? My bank, Krungsri, is asking horrendous fees.