I don't see a problem using a Singapore address on your CV, but I would label it "Mailing Address."
By the way, is it common to put nationalities on CVs? In several countries -- U.S., to pick an example -- if a prospective employer asks about your nationality (or race, gender, or a few other attributes) it's prima facie evidence of illegal discrimination. It's certainly not my favorite factoid to put on a CV. Would it matter if you were, say, Irish or Swiss? If somebody wants to discriminate they already can, in reality, so why encourage them? Employers in Singapore vary, of course, but there are at least a few of them that might appreciate not being asked to favor or disfavor you in part due to your nationality.
....Or I suppose you could also include your religion, skin color, eye color, hair color, age, physical defects, height, weight, whether you smoke, how much you drink....
My view is that everything on a CV ought to have a professional purpose, and anything that doesn't doesn't belong there. If the job requires (or reasonably could require) working in one or more EU/EEA countries, then say that you can, directly. And/or in Thailand. ("Have work permission for EU and EEA countries, and for Thailand.") But who cares what your nationality is?(*) If I'm hiring, I don't and shouldn't.
(*) One rare exception: national security-related positions.