Tax and Death, you can't avoid them.
As has been mentioned elsewhere, there are ways of reducing, slightly, your liability to taxes by registering as a limited company. However, the fact that you are a national of one country, employed by a company with its headquaters in another country and working in a third country, even if you are a resident of yet another country, you are liable for tax. There is no escape. If you have been working under such a regime for any length of time believing that you have been getting away with it then prepare yourselves for a shock. Brookfield and other agencies have been recently investigated and the storm troopers of the Customs and Excise are gathering.
It is only a matter of time.
The penalties for evading tax can amount to more then the unpaid tax. There is no appeal.
I speak from experience. I too thought I was being oh so clever by doing just that. I am still paying the arrears, twelve years later.
No matter where you look for a legal loophole, you will not find one. Non-domiciled, non-resident, legal alien, non-EU citizen; forget them.
Where you earn the majority of your income is where you MUST pay your taxes. This is the EU law and I am afraid we are working and operating within the EU. If RYR or Brookfield try to tell you differently then they are misleading you.