When Jews leave their homeland, they leave behind a very small group of people called Cochin (Cochin Jews) or Cochin Jews. The Cochin Jews live in the southwestern Indian state of Kerala. They first came to the Malabar coast about 2,000 years ago as sailors on the fleets of King Solomon. They came to buy spices, apes, peacocks, and precious metals.
Songs and oral traditions from this group show us where they lived in Malabar before the Second Temple was destroyed in 70 CE. They lived in places like Paloor, Madai, and the port of Cranganore, which is now the city of Kodungalloor. A group of people who leave their home country is called the “First Diaspora.” One of the stories says that they are descendants of Jews who were taken captive by Nebuchadnezzar in the 6th century BCE. After Cyrus the Great freed them, they went to India.
Source: https://www.ejewishphilanthropy.com/the-jews-of-cochin-recording-community-history/