French police do not have jurisdiction in Monaco, which is an independent state (principality) so police from Nice would not be guarding the casino nor the villa.
Two characters force the bank to retire by betting millions of Francs on the ante and winning. In 2002, Francs were not in circulation anymore, as the currency was the Euro, in France as well as in Monaco.
A mic pack can be seen on Anne's backside when she and Bob are leaving Paulo's car near the end of the movie.