The trip was at the request of the British Government, following invitations from President Juan Manuel Santos Calderón of Colombia and President Enrique Peña Nieto of Mexico, and it is hoped that the visit will be a major boost to the relationship between the UK and these influential Latin American nations.
The pair will arrive in Colombia's capital Bogota on 28 October, where they will attend an official banquet, before taking part in events that focus on the country's traditional arts and crafts, historical architecture, organic food and wool, trade and investment.
The Duchess of Cornwall will also attend a meeting made up of charity and Government representatives which work on various initiatives in the field of preventing sexual violence in conflict, while Prince Charles will visit the Macarena National Park in southern Colombia to discuss the sustainability of marine culture.
After the five-day visit in Colombia the royals will head to Mexico, where they will visit the ancient Edzna Maya archaeological site and will learn about restoration of the ruins.
They will also visit Real de Monte, one of Mexico's first mining towns which has a strong historical connection to Cornwall, of which Charles is also the Duke.
The gala will take place on 16 October at the Royal Chelsea Hospital. 100 Women in Hedge Funds is a leading non-profit organisation for professionals in the alternative investments industry, and partnered with Wellchild, a charity which helps sick and disabled children across the UK.
HUGS FOR HARRY: ROYAL CHARMED BY LITTLE BOY AT WELLCHILD AWARDS
The pair joined forces early in 2014, and Kristen Eshak Weldon, Chair of the London Board of 100 Women in Hedge Funds said: "100 Women in Hedge Funds is excited to support [Wellchild's] important service to so many individuals and families, which ensures parents have the support they need. We salute WellChild for its advocacy for children and for the entire family."