I wonder why nobody has answered your post, I just saw it. Anyway, I hope that you have managed to find a solution with this untrustworthy renting company.
If you have paid the full rent, I hope they won't take any chances and they will honour their commitment. Otherwise, you can always invoke your legal rights and tell them (in a non-threatening manner of course) that you will take legal action.
Is LVIIMMO still proposed as a possible housing solution by the Association of trainees (the Stage Committee)? I wonder. Trainees should be actively discouraged from seeking housing in this company. I have already described what happened to a friend of mine 2 years ago, who was denied the return of 800 euros or something of his deposit.