Given below is heartfelt opinion. Yu may show all docs to a competent and experienced labor consultant/service lawyer and give inputs in person.
Usually companies give offer letter which briefly states the terms and conditions and remuneration of selected candidate.
Did this company issue offer letter and did the offer letter mention notice period?
Have you received the relieving letter even if by email? If you have then it is good or obtain the reliving letter as ap. Try and obtain comments that you had resigned and resignation was accepted. Try and obtain comments even if by email that appointment letter has been posted on dated…..by courier/redg. post.
You have posted that:
--“ but I didnt sign the appointment letter as I never agree with notice period clause.”
The contract of employment is per negotiated/settled/agreed upon conditions.
You never agreed to the notice period.
However you could have communicated even if by email.
Now you may submit to your appointing authority, MD, Director that before joining/upon joining and later you have been representing to companies {if possible mention dates and name/designation/dept/address of company personnel} that you shall not accept the clause of two month’s notice period and notice period and appointment letter should be as per standing orders/SE Act applicable to the company.
“Shall I go ahead and sign appointment letter to get the FnF after deduction”
If you agree to sign the appointment letter you may write above your signatures that clause number…..on notice period of 2 months is not accepted as already communicated in previous representations in person in office, and put the current date below your signatures. You may also mention that appointment letter is received on dated…..{date of receipt by post and keep the envelope}.
--“ so I talked with director of company and get negative response to get FnF without deduction.”
Company shall be pleased to square of your dues by adjusting notice pay in FNF statement.
Company should adjust notice pay @ basic + DA as it disburses earned leave, bonus, Gratuity, OT at this rate.
--“ I am from Tamil nadu and was working in Hyderabad,”
Hyderbad if it was your last location in the company.
Company might have mentioned that courts of …….shall have the jurisdiction.
So may choose what is suitable to you.
--“ was working in Hyderabad”
SE Act AP {attached.You may obtain latest version from dept of labor or market}
Min. Notice period 15 days.
Model Standing Orders: 13. Termination of employment.--
Notice Period; None in case of probationers.
--“which office I should contact”.
Inspector in SE Inspectorate or o/o Labor Commissioner.
The address may be available at dept of labor website of AP.