She wants what she can't have. I have no good advice on how to play this....it could certainly be a false start, but it may actually be a start.
Have you told her that you don't trust her? That you aren't sure how you'll regain that?
Have you told her what it would take for you to consider trying again with her?
Have you given her any kind of roadmap that would help with reconciliation?
I don't disagree with how you are handling things. You shouldn't just jump, but an occasional acceptance of offers is okay. Give her the opportunity to prove something by you. Don't trust her, but at least allow some opportunities for her to work towards that. Give her some hoops and see if she jumps through them....IC, MC, whatever. Or have you closed the door completely (I think not, or you would always turn her down).
You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer