A bench of Justices Dipak Misra and Arun Mishra issued notice to the state government on the plea seeking ex-parte permission to visit Goa.
The right-wing leader has also challenged the state government's September 23, 2016 prohibitory order under section 144 of CrPC contending that it was illegal and repeatedly passed without giving him a hearing.
His plea said that the repetitive prohibitory orders passed by the Goa government and district magistrates of South and North Goa are "illegal and without jurisdiction".
In the September 23, 2016 notification, the Goa government banned his entry in the state on the ground that his presence will promote enmity between different groups.
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Seeking quashing of this notification, Mutalik also sought from the apex court a compensation for the "illegal acts", saying it was violative of his fundamental rights guaranteed under Article 14, 19(1)(b)(d), 21 and 25 of the Constitution.
"It is most respectfully submitted that the petitioner wants to visit the State of Goa for religious purpose and in exercise of his religious and constitutional rights," he said.
Mutalik had filed a similar plea in 2015 seeking entry in Goa which was dismissed by the Bombay High Court on July 2, 2015 and later on August 31, 2015 by the Supreme Court.