If you had to leave due to depression, and if you had met a medical practitioner for diagnosis or treatment of the depressive condition, you could check on whether the doctor had considered you unfit for work then. If a medical certificate confirming that post examination the employee was found unfit for work, could be submitted then this could create medical grounds for a notice period waive off. But please do be careful not to submit any fake certificates.
With regard to the mail for you to pay them money, the company has to follow a number of procedures for this first. They have to first send you letters of concern in hard copy to your residential address stating that you have not reported for duty to serve your notice period. This has to be done at least within 14 days from the day you last attended work. If they do not receive response to the letters that they have sent, then they can conduct an inquiry in your absence and ex-parte issue a dismissal letter to your address. It is only after all this that any correspondence for retrieving damage can be initiated.
If you are not working anywhere else now, you can also offer to serve the notice period now in lieu of the amount to be paid by appealing against the dismissal.