Really depends on your current citizenship Spycam and where you are resident (and too personal to go into here).
If you are a US citizen, it's better to consult both a US lawyer and an offshore lawyer to check the legalities - else stuff can bounce back to cause damage. If you are not a US citizen but wish to remain in your current country of citizenship - there are local taxation issues involved. If you are not a US citizen and resident in a low or no tax regime - no problem whatsoever.
There are a few jurisdictions in the EU which may apply - Gibraltar, Cyprus, possibly Malta or even a simple UK company. They all vary on what they offer and need some reading (the information is available on the net). All these company options would be non-resident. Some differences are - Cyprus requires accounting records be maintained, a UK company would not have taxation if this is declared as non-resident from the start, Gib is changing and there will probably be an element of taxation applicable - tho small.
Where there is taxation applicable, this could be reduced to next to nothing by using your current corp (basically by inter-company invoicing etc). Tho it depends where your current corp exists at the moment - and assuming there is no taxation in that region.
Would suggest you dig into the above possible jurisdictions and select the most suitable for your purpose - then contact an offshore lawyer direct for corp formation and possible banking facilities
PS The vast difference between a "real" offshore and wannabees is that there is no filing on any kind or any reporting requirements other than payment of annual govt duties - it sure saves a lot of work and audit fees, but this is not the norm in any EU corps, tho taxation can still be kept to a minimum.