Yes, there could be a written test for the merit-based law school admission. Institutes that provide merit-based law admission often conduct a multiple choice based written test along with a group discussion/ personal interaction round. A final merit list is prepared based on the combined scores in the qualifying exam and scores obtained in the written test, group discussion, and personal interaction round.
Candidates must note that a written test, a group discussion, and a personal interaction round aren’t compulsory for all the law schools that provide merit-based admission. There are law schools that take only the written test and a personal interview.