Can new arguments be presented just before order date is set

Yes. You can file application to re-open the case for the purpose of submitting further argument on your side. The condition is that the application should be filed for genuine reason and it should be filed before pronouncing final order.

@Advocate Saleema.  Thank you so much. Is there any specific rule under Cr.P.C. to do so. If so, what is it? Can the advocate just file an application to submit arguments or does it have to specifically state that it seeks to open the case to file an application? 

There is no provision available in Criminal Procedure Code for submitting arguments or further arguments. But, it is based on principles of natural Justice that the parties should be granted fair and reasonable opportunity of being heard.

Moreover, it is well settled law that the procedures are only a hand maid not the master. Misquoting or non-quoting of section also will not make any hindrance in granting Justice.

You can also file your written arguments.

@Adv  Kabeer, Thank you for your advice. Very precise, well-worded, easy to understand and accept.  You must be very good at what you do.  Unfortunately, my case is not in Madras. Otherwise I would have retained your services for sure.

Thank You Jimmy.

@Adv Saleema Kabeer. Had the hearing today. Worked great. My advocate needed to be coaxed a bit to make the filing. He did file ultimately. The Judge accepted it without any hesitation and rescheduled the Order hearing. You are great!!! Thanks a LOT!!!