Miscommunication during employment

Did you get any offer letter from the company on the basis of which you put down your papers in the earlier company?

Did you send your acceptance to the offer letter? Do you have any proof of acceptance (email, courier receipt, etc.)?

Were the terms of offer letter favorable to you? Did it mention regular employment? Did salary include PF?

Try to answer the above questions and approach a lawyer practicing in your area if you get into trouble.

To answer your question, company nevertheless has to pay you for the number of days you have worked - contract or no contract - as per provisions of law.

In addittion you may also show job advt, job application, interview call letter, selection letter, etc.

Let your counsel draft and structure your representations so as to build ground for staking claim for damages. 

If you can prove (with any documentary evidence) your employment for even a day, you are entitled to claim the salary for the day you have worked. 

However, you have to decide whether it is worth doing in terms of investment of time as well as legal expenditure. 

Did you keep copy of BOTH appointment letter, as posted by you?

Do you  the evidence of having marked attendance and having worked?

The first option (There will be a TDS form my take home salary and my employment will be on a contractual basis) was of a contractor, the second option was probably of (by appointment letter ..........................it is mentioned as the employment is on a contractual basis and few more terms that cannot be accepted) probably FTC!

In any case you were allured and asked to give up permanent employment and asked to work also.

Since you were allured and not given the promised/assured deal you were coerced in F2F meeting (He doesn't see any good result from my end and therefore he has to take a call on me) and hinted of possible termination.

If you can establish and persist you have  a case.

It is certainly upto you to evaluate the options.