A roaming customer buys the service from his/her service provider, the one who controls the number. The service provider purchases roaming and billing services from a foreign operator in order to provide the service to the customer. Today, the most that a customer who wants to be reachable (who wants to receive calls while abroad) can do is register on networks of operators in foreign countries who offer lower prices to his/her provider. If there is a possibility of competition here, it’s a faint one. What the EU appears to be doing is to allow a customer to buy roaming services in the home country from a service provider other than the regular carrier.