"At 12.33 a.m., I got a threatening call asking me to withdraw all cases against (former BJP minister) Eknath Khadse," she said in a statement.
Damania quoted the telephonic conversation: "Tune jina haram kar rakha hai sabka. Teri family hai na.." (You have made life miserable for everybody. You also have a family).
She said the true caller showed the number (starting with codes +92 21) from a landline in Karachi.
Damania lodged a complaint with the Vakola police station in Santacruz east this morning.
"Informed Chief Minister Devendra Fadnavis and Joint Commissioner of Police (Crime) is investigating the matter," she tweeted later.
Khadse, the senior most BJP leader in Maharashtra, had resigned as the Revenue Minister in June 2014 after his name cropped up in a dubious land deal in Pune.
Subsequently, Damania had also leveled accusations against Khadse of favouring certain contractors in the multi-crore rupees irrigation scam which is under investigation.