I'm just going by experience, here.
Usually, if I am confused about a thing like this, I push the person for a clarification, saying something like, "Do you want me to stay or do you not want me to stay?" Usually, I get a "Well, YES, come and stay", or a reluctant (apologizing), "Well......it'd really be better if you don't stay because (fill in the blank). Sorry." Then I will, depending on the answer, say "Great" or "No problem, I understand."