Sources said the duo, reportedly in their 20s, was spotted wearing the T-shirts at a procession during Muharram.
Police took them into custody for questioning after their photos were published in the media.
There was no terror links found during the interrogation and no FIR was lodged so far in connection with the case.
ISIS is known to be as Islamic State is the hardline Sunni Muslim group that has gained control over large parts of Iraq and Syria.
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