What is your position in the company? What is the nature of company and strength of employees. How is the salary paid?
Many companies do not give appointment letter or salary slip in India. But that does not take away your right as an employee.
You can try to obtain photocopies of attendance registered, salary register, any office memo, internal memo, any letter of authority issued to you by the company which can be used to prove your employment.
Legally you can write a simple letter to the company stating that you have been working as ..... with the company w.e.f.......... and your last drawn was Rs.............. for month of .................... You now need a salary slip for the month of .............. for some reason (reason is not important). BUT SEND THIS LETTER THROUGH SPEED/ REGISTERED POST. Keep the postal receipt as well as online track report for future reference.
Let the company answer you/ ignore you first. Thereafter, you can proceed further legally.