On Tuesday, Mrs. Clinton plans to attend a meeting in Honduras of the Organization of American States. Members of the group want to make an even clearer break with the past by moving to readmit Cuba, which the organization expelled in 1962, citing its alliance with the Communist bloc. Mrs. Clinton has fended off calls for Cuba to be offered membership until Havana moves to accept the group’s democratic principles. On Sunday, she reiterated that the United States would oppose the efforts of several Latin American countries to immediately reinstate Cuba.  “We believe that membership in the O.A.S. comes with responsibility, and that we must all hold each other accountable,” she said. Cuba, for its part, has said it has no interest in returning to an organization that the official newspaper Granma referred to recently as “that decrepit old house of Washington.”  The measures proposed by Cuba, while incremental, came in response to overtures from the United States, and may blunt criticism that Washington is not moving fast enough. There had been speculation that Mrs. Clinton might skip the meeting in Honduras if there was no compromise on Cuba, but American officials signaled that she was now likely to go.  President Obama began his outreach to Cuba two months ago by lifting restrictions on travel by Cuban-Americans, and on the remittances those living in the United States send home.  Earlier this month, the Obama administration signaled its willingness to reopen a higher-level channel with Havana by proposing meetings on migration. Those efforts appear to have gained momentum after a summit meeting in April in Trinidad at which Mr. Obama told Latin leaders that “the United States seeks a new beginning with Cuba.”  The migration talks date back to the 1990s, when Cuba and the United States tried to curtail a flood of refugees who fled the island, often on flimsy rafts. President George W. Bush halted them in 2003, largely suspending regular communication with Havana. He cited Cuba’s policy on exit visas, its treatment of repatriated Cubans and surveillance of dissidents.  Given the rise in human smuggling from Cuba, not only via the Florida Straits but elsewhere in the Caribbean, American officials said it was in the interest of both countries to resume the talks.  A version of this article appears in print on , on Page A4 of the New York edition with the headline: Cuba Agrees To U.S. Talks In New Sign Of a Thaw. Order Reprints| Today's Paper|Subscribe
Latin America is impatient to see the United States repair its half-century-old breach with the government in Havana.