The collegium, headed by Chief Justice Ranjan Gogoi, also recommended transfer of Meghalaya High Court Chief Justice A.K. Mittal to the Madras High Court.
Justice Tahilramani was elevated as the Chief Justice of Madras High Court on August 8 last year.
On August 28, the collegium recommended her transfer but she had requested that the decision be reconsidered.
"The collegium has carefully gone through the aforesaid representation and taken into consideration all relevant factors. On reconsideration, the collegium is of the considered view that it is not possible to accede to her request," said the resolution.
The collegium, accordingly, reiterates its recommendation dated August 28 for transfer of Justice Tahilramani to Meghalaya High Court, it said.
Justice Tahilramanidid her LLB from the Government Law College, Mumbai and LLM from the University of Bombay. After enrolment with the Bar Council of Maharashtra and Goa, she joined the Chamber of her late father L.V. Kapse, a renowned advocate, before starting independent practice in the Bombay High Court.
On June 26, 2001, she was appointed a Judge of the Bombay High Court and delivered number of landmark judgments including many in death sentence cases and the Bilkis Bano (Godhra riots case), which was transferred to Maharashtra from Gujarat by the Supreme Court.
The collegium has also recommended transfer of Justice Vivek Agarwal of the Madhya Pradesh High Court to the Allahabad High Court and Justice Amit Rawal of the Punjab and Haryana High Court to the Kerala High Court.
( With inputs from IANS )