These men are asking the court to put a stay against their deportation following notices that were issued to them last month.
The application seeking interim orders was moved in court before a three-man Supreme Court bench on Thursday this week.
The 166 men were processed and found to be non-genuine refugees.
They are asking the high court to stop their deportation pending the substantive case which they filed seeking compensation for their illegal detention since 2013 based on the April 26, 2016 Supreme Court decision in the Namah case.