"Not your wallet" without any contact information

Dear all,

just bought wallet with "find my" feature, successfully set it up under my account - ok.

Then i'm remove it from back cover, got meaasage - "Lost 1 min ago at bla bla bla", turn on "lost mode" for it and type my contact phone number if somebody will find it (also try with email).

After 10-15 mins put wallet to my wife's iPhone and...... - "Not your wallet" without any contact information.

How an person who found it will contact me in this case?