They were targeted after obtaining visas with the help of fraudulent applications from a jailed legal advisor in London.
Harpreet Dhall was jailed for six years at Harrow Crown Court in March for helping submit the applications by creating false documents and employment histories for clients.
After further inquiries were made, a number of people living in Edinburgh were identified who had gained work visas through these fraudulent means.
Seven offenders related to the fraudulent visa investigation were arrested at a number of addresses in the city last week, along with three unrelated immigration offenders.
The group was made up of three Indian women, six Indian men and one Pakistani man.