To combat this phenomenon, the United States "must understand" that the countries of the region need "the support and competition of their government."
Panama officials say the devastation caused by Hurricane Matthew in Haiti will likely bring more Haitian migrants to the region trying to reach the U.S.
Solís addressed the 71st U.N. General Assembly, saying that the migration problem is global and requires joint solutions, solidarity, shared responsibility and integral approaches.
Costa Rica President Luis Guillermo Solís spoke Monday at Washington D.C.'s Wilson Center about the country's growing role in hosting migrants and refugees.
Colombia has deported more than 5,800 migrants over the past two months, most of them from Haiti and Cuba, according to official figures released last week.
The decomposing bodies of eight undocumented migrants, likely African or Haitian, apparently headed to the U.S. have been found in Nicaragua's vast southern freshwater Lake Nicaragua.
The closure of the shelter that housed 85 and fed 150 people a day is likely to further concentrate immigrants in the area around Peñas Blancas, as more arrive every day with no way forward.
The demonstration in Peñas Blancas, Guanacaste was peaceful but a forceful reminder that thousands of migrants are waylaid in Costa Rica as Nicaragua continues to block their path north toward the United States.