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Once (accidentally) she flied outside. I trained her to fly back to my arm, if I whistle, so I could call her back. To legally fly her outside, I need a hunter exam and a falconer exam in my country (in Hungary). She lives with me inside the house in my room. We sleep together.

That is cool she will fly back to your arm. My dad always wanted to get a bobcat here in the United States but you have to get additional licenses to have one and even though they had 36 acres of woods I don't know if a bobcat or lynx would come back to the house or runoff. The domesticated cats and dogs would always find themselves back.