By Brian Ellsworth and Marc Frank

MIAMI/HAVANA (Reuters) -Cuban Americans in Miami held rallies and led prayers to support dissidents on the Communist-run Caribbean island whose planned protests on Sunday largely fizzled under pressure from authorities and government supporters.

Dissidents in Cuba have for months been preparing a “Civic March for Change” in support of civil and human rights following nationwide protests in July, the largest on the island since Fidel Castro’s 1959 revolution. Rights groups say more than 1,000 people were detained following those rallies and hundreds remain in jail.

The government of President Miguel Diaz-Canel has prohibited Monday’s march in Havana as well as protests planned for other Cuban cities, saying they are part of a destabilization campaign by the United States, which maintains a Cold War-era embargo on Cuba. U.S. officials have denied the allegations.

Demonstrators clad in white to show support for Cuban dissidents gathered in a park on Sunday in eastern Miami shouting protest slogans “Patria y Vida” and “Viva Cuba Libre,” while a small flotilla of boats touting Cuban flags gathered nearby.

“Today’s activity is more than anything else moral support for our people … to show them that they are not alone,” said Niurka Prestamo, a 45-year-old realtor who attended the demonstration.

The rally in Miami took place around the same time as Yunior Garcia, a playwright and dissident leader, was expected to march alone, with a white rose in hand, down a central street in Havana to underscore the non-violent nature of his movement.

But government supporters surrounded Garcia’s apartment complex early in the afternoon, and shortly after draped the building in Cuban flags, obscuring the view of Garcia’s window from the street.

A bus blocked access to Garcia’s street, and supporters shouting “I am Fidel” – a reference to the late Cuban leader Fidel Castro – gathered around his home, preventing him from leaving.

Later in the evening, dissidents had called on supporters to bang pots from their homes in a show of solidarity for government critics, but several Reuters witnesses in Havana, the country’s largest city, heard no pot-banging in their neighborhoods.

Residents contacted by Reuters in eastern Granma and Santiago de Cuba provinces, as well as San Antonio de los Banos, in Artemisa province where the July protests began, also reported no incidents on Sunday and no pot-banging.

U.S. Secretary of State Antony Blinken on Sunday condemned “intimidation tactics” by the Cuban government ahead of Monday’s planned march in Cuba and vowed the United States would pursue measures seeking “accountability” for the crackdown.

Cuban Foreign Minister Bruno Rodriguez replied on Twitter shortly after, telling the United States to stay out of Cuban affairs.

“Antony Blinken should learn once and for all that the Cuban government’s sole duty is to its people and rejects, on its behalf, the U.S. interference,” Rodriguez said.

A Facebook group called Archipielago, led by Garcia, is at the front of Monday’s planned protests – which coincide with Cuba’s reopening of its borders to tourism following restrictions tied to the COVID-19 pandemic.

Archipielago says it has 31,500 members, more than half of whom are inside Cuba. The group in September sought official permission for the march, which was quickly denied.

Miami has the United States’ largest Cuban-American population, which grew in the years after the 1959 revolution.

About a quarter of Archipielago’s members live in the United States, the group says, including 1,200 in Miami.

The city was a hotbed of anti-Castro conspiracy efforts during the Cold War, and its Cuban-American residents as a group remain staunchly opposed to the Havana government, although some in the younger generation have sought to re-establish connections in recent years with the island.

“We are here to give a cry of freedom. We want to tell the people that they are not alone,” said Miami demonstrator and journalist Serafin Moran, 43. “Today we send a greeting, a message to the people of Cuba: If you are in the streets, so are we.”

Small rallies in support of the Cuban dissidents took place in other cities across the globe on Sunday, from Canada to Spain.

(Reporting by Brian Ellsworth in Miami, Marc Frank in Havana and Matt Spetalnick in Washington; Editing by Dave Sherwood and Peter Cooney)