Mark Drakeford said the incidence rate was "well above" 400 cases per 100,000 people a week ago but had now dropped to 365 cases per 100,000 people.
Passengers planning to travel into Wales from abroad will have to prove they have tested negative for coronavirus before their departure.
Mary Ronald was filmed by ITV Wales' national correspondent Rob Osborne in a television news report about a meals on wheels service in Cardiff.