Prime Minister Modi later described the meeting as 'great'.
"A great meeting with PM of Saint Vincent and the Grenadines, Mr. Ralph Gonsalves," he tweeted.
Ministry of External Affairs (MEA) official spokesperson Vikas Swarup also took to twitter to inform about the meeting.
"Bringing the Caribbean closer. PM @narendramodi meets with PM Ralph Gonsalves of Saint Vincent and the Grenadines," he wrote.
India and Saint Vincent and the Grenadines, enjoy close and cordial relations at many international fora.
Under the Indian Technical and Economic Cooperation Programme (ITEC) Programme, 10 scholarships have been allotted for 2015-16.
There are about 3,000 persons of Indian origin who came to Saint Vincent and the Grenadines in the 19th century as indentured labourers. Most of them have now got assimilated in the mainstream local society and they have set up a Saint Vincent and Grenadines Indian Heritage Foundation.
Due to the efforts of the Foundation, June 1 has been declared as Indian Arrival Day in Saint Vincent whereas October 7 has been declared as Indian Heritage day.