Outside of a Universe and its origin Per the Big Bang Theory, the universe was formed from a dense singular point which existed 13 billion years ago and has been expanding ever since. This suggests that the point should have existed somewhere in space implying an outer universe. If we call this point the "Universe", then what do we call the space that held that point? Also how did this single point come into existence in the first place?
You are making the mistake of thinking that there was a single spot in space that everything expanded from. Rather, the expansion was not of things in space, it was space that expanded. It was an expansion OF space, not IN space. There wasn't "space" around the singularity.