Before the Cuban Revolution, Dunhill had numerous distribution and marketing agreements with several Cuban cigar manufacturers, selling brands such as Don Cándido and Dunhill's own Selección Suprema line, with various sizes from cigar makers such as Montecristo and Romeo y Julieta.
[1] After the Cuban Revolution, the government's tobacco monopoly, Cubatabaco, gave Dunhill exclusive rights to three brands: Don Cándido, its own Don Alfredo, and La Flor del Punto, plus the numerous Selección Suprema sizes produced by the marques that had survived nationalization.
The name may be a reference to the white spot of inset ivory on the shank of Dunhill smoking pipes, as one of the meanings of the Spanish word punto is "dot" or "point".
An agreement was reached in 1982 and Dunhill cigars began appearing in stores in 1984, starting in ten countries and eventually expanding to thirty.
When the contract expired in 1991, Dunhill chose not to renew, having already begun evaluating possible new locations in the Canary Islands, Dominican Republic, and Honduras for cigar production.