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., to the best of my knowledge a Wyoming LLC can own property in any state, however the LLC must register as a foreign entity in that state. 

A 1031 exchange is NOT available for owner occupied property so that’s the bad news.The good news is for owner occupied primary residences, for married couples, the first $500,000 of pain is tax free.No need to worry about a 1031, live in the house, sell it, use the $500,000 exclusion and you pay KP tax on whatever profit may exist,2.

BC I know has a property purchase tax for everyone and an extra one for foreign investors.

And once you convert it into your primary residence it is no longer eligible for a 1031 exchange. 

Switzerland does impose some restrictions on foreign and non-residents buying property but you can still buy and several members of my family actually own property there.

Your New York LLC is considered a "foreign" LLC to Pennsylvania.

@Carlos RodriguezWe have partners who are foreign investors.

Mind you, with mortgage interest rates in the US being so much higher now (and seemingly for the foreseeable future), I wouldn't be surprised if LTRs in Europe would cash flow better than in the whole US nowadays (to be verified).This being said, I don't and would never invest in LT rentals outside of North America  as I wouldn't want to face unfavourable landlord/tenant laws as a foreigner.

I don't think US based banks are allowed to accept any foreign currency as is (deposits, payment).