Judge Ashok Patil adjourned the bail application after the prosecution sought time to file objections to the additional grounds cited in it.
Counsel for Mazurier had filed additional grounds stating there was a mismatch between his client's samples and the victim as per the DNA report which he produced.
Mazurier had filed the bail petition July 4.
A magisterial court on July 3 had extended by 14 days the judicial custody of Mazurier, arrested on June 19 on the basis of a complaint by his Indian wife Suja Jones, alleging that he had raped their four-year-old daughter.
Mazurier is deputy head of Chancery in the Consulate of France here.