I'm a bit rusty on the details of how things are done, but your answer does not make it clear to me whether a tax liability might arise. If, for example, you were resident here and enjoyed an income that originated in another country, even if it was taxed in that other country and the balance never remitted here, it is taxable here (probably with a component of double taxation relief). If, on the other hand, you were non-resident here when such an income arose, it would probably be exempt from Irish tax (but you might have a tax liability here on interest earned on deposits after your coming here). In other words, it is difficult to say how you would stand on tax without knowing more detail than you might want to give in an online forum like this one.
Frankly, I would start with a presumption that people resident here who hold funds outside Ireland do so with a view to avoiding or evading Irish tax. It's not so in every case, but it is the appropriate opening position to take, and then put it to the person to show otherwise. That's also what the Revenue Commissioners would do.
It's the job of the Revenue Commissioners to ensure that you pay the right amount of tax - not too little, but not too much either. If your conscience is clear, move the funds and answer the taxman's questions; if you are trying to evade tax, I cannot, and do not want to, help you.
