I don't know if there is enough knowledge acquired yet about Bose-Einstein condensates to answer my question, but here it goes....

From what I have read about the subject, I understand that the atoms in such a condensate appear to occupy the same space.

If this is so, is there a limit to the number of atoms that can occupy that same space?
How would this affect the actual matter density of the element in question?

What was, still is, and always will be such is the truth of the eternal now.