You should most definitively file taxes. Even though Wyoming does not have any state tax and you have foreign transactions. The US is very specific in foreign transactions. All income shall be reported to the IRS and if there is an international treaty then file the specific forms that will help you avoid paying taxes here in the US. However the fillings need to be presented if you have an active business registered with any state. Are you an american resident or citizen? If you are not then you have to file for an ITIN to present your taxes at a personal level as a single member LLC. If that is the case (that you leave it as Single Member or Disregarded LLC) you might be able to avoid "Income Tax" if the international treaty allows it. However you will not be able to avoid Self Employment Tax which is automatically created when you have a Single Member or Disregarded LLC. I would suggest looking for your LLC to be elected as S-Corp if you are a US citizen or resident. This will save you thousands of dollars.