Restaurants and cafes in Mexico City are to reopen on Wednesday after the country recorded a fall in new cases of the swine flu virus.
Libraries, museums and churches are to follow suit a day later but cinemas, theatres and bars are to remain closed, the mayor's office said.
Government officials are meeting to discuss when schools and businesses across the country can resume work.
More than 1,000 cases of the virus have been reported in 20 countries.
Confirmed cases in the US have risen from 226 to 286, spread over 36 states, with most patients suffering mild symptoms. One death has been confirmed - that of a Mexican two-year-old boy who was visiting Texas.
Officials say the rise in cases in recent days was due to results of lab tests coming through, rather than because of a new surge in cases.
The UN says it has seen no evidence of a spread at community level in Europe and Asia - a development that would trigger the highest level of alert.