I want to confirm that thing tiss mumbai take anothe exam besides the tiss net
TISS accepts international admission too. If you or your family member live outside of India, you can go to TISS via GMAT. https://www.tiss.edu/view/6/students/international-relations-office-iro/
There is no Entrance test besides TISS -NET but if you wants to take admission in MA (HRM&LR) and / or MA (ODCL) programmes then you must appear TISS-MAT in adittional to the TISS-NET .TISS-MAT is stands for TISS Management Aptitude Test .
For more information you can go through the official website of TISS.