The magistrate fixed the matter for February 25 after the prosecutor sought time to file the report.
The police, in its report, had earlier said that the complaint of Vivek Garg, an RTI activist, was "motivated" and bears "misrepresentation of facts". It had said that the evidence supplied by the complainant does not "disclose any offence worth (taking) cognisance by the police".
During the arguments, Garg's counsel Ajay Goel contended that an FIR should be registered against Shinde as the offence of "promoting enmity between different groups on grounds of religion is clearly made out against him".
The court also asked the police to take excerpts from the CD containing the speech delivered by Shinde on January 20.
The police told the court that a case cannot be registered against Shinde as there was no conspiracy.
"From the transcription of the speech, it is nowhere reflected that the home minister intended to incite any class of community or person to commit any offence against any other class or community.
"Further, the uttering of the words with the deliberate intention of wounding the religious feelings of other persons is an offence, but the same is lacking in the speech," the police had said in its earlier action taken report.