A smart card is initially connected to a first mobile terminal and includes a first directory file adapted to store first contact cards. To access the first contact cards, initially stored in a directory of the first terminal, from a second mobile terminal an application in the first terminal copies each of the first cards of the directory in the first directory file, if the latter does not include the first card. In the second terminal connected to the card withdrawn from the first terminal, the application copies each of the first cards of the first directory file in the file of the second terminal, if the latter does not include the first card and if the first directory file is inaccessible by the second terminal.