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Tax liability in US for LLC's owned by an Indian Citzen
The LLC will not be liable for anything, it is disregarded for tax purposes. If you're doing any work while in the US, or you (or your spouse) are a green card holder or a US citizen - then you (not the LLC) may be liable, may be required to file, pay, etc. Unless you're employing someone, or have more than one member in your LLC, you do not need an EIN. Re the bank - whatever you want. If you want you can open an account in an American bank. If you don't - don't. Who cares?