The power to enlarge the jurisdiction of the Supreme Court of India with respect to any matter included in the Union List of Legislative Powers rests with the Parliament. The Union List consists of subjects on which only the central government has the authority to make laws.

According to Article 138 of the Constitution of India, Parliament has the power to confer additional jurisdiction on the Supreme Court in matters included in the Union List. This means that if the Parliament deems it necessary, it can pass a law to grant the Supreme Court the authority to hear and decide on specific matters that fall within the jurisdiction of the central government.

It is important to note that the President of India does not have the power to enlarge the jurisdiction of the Supreme Court. The President`s role in the process of appointing judges and other administrative matters of the Supreme Court is separate from the legislative power to determine its jurisdiction.

Therefore, the correct answer is that the power to enlarge the jurisdiction of the Supreme Court of India with respect to any matter included in the Union List of Legislative Powers rests with the Parliament.