Well, they should fight over it. It'd be more fair to everybody. Look at how it used to be:
"The Dutch" Milan had Rijkaard, Gullit and Van Basten
We had Platini, Laudrup, Bonini
"The German" Inter had Klinsmann, Matthaus and Brehme
Roma had Aldair, Voller and Berthold
Napoli had Maradona, Careca and Alemão
And so on.
Obviously as i said it'd make no sense to field 8 crap Italians against a force like Bayern Munich but if everybody was to follow the rule, teams would have their identity back. On the same token that would mean the end of the Premier League and the oil clubs.