There were six Soviet missiles and jet bomber bases, they were installed in San Cristóbal, Candelaria, Guanajay, Sagua la Grande, Remedios, and Santa Clara.
The majority of American intervention in the foreign affairs occurred during the Cold War (this is your answer). Latin America was a frequent hotspot for activity as well especially towards the latter half of the Cold War with Fidel Castro's rise to power in Cuba.
