@SGBoo, I agree, that what you are suggesting might well bring about a bit more clarity and progress in dealing with the situation, but I disagree with your comment that France is doing "naff all."
France might look as though it can't be bothered and wants to offload the problem onto us, but they are in a similar position and point the finger at the Italians. I've read in many a French newspaper that they consider the Italians incapable and inept at dealing with the migration problem. France's attitude is, why can't Italy deal with the immigrants, its a safe country too and probably more in need of workers. For example, schools in the South of France, especially around Marseille are struggling with the influx of refugees, so naturally tensions are high.
The problem is a hot potato being past from country to country.