As per Section 13(3) of CGST Act, 2017
(3) In case of supplies in respect of which tax is paid or liable to be paid on reverse charge basis, the time of supply shall be the earlier of the following dates, namely:––
(a) the date of payment as entered in the books of account of the recipient or the date on which the payment is debited in his bank account, whichever is earlier; or
(b) the date immediately following sixty days from the date of issue of invoice or any other document, by whatever name called, in lieu thereof by the supplier:
Time of supply of service is earlier of clause (a) and clause (b). If the document issued by supplier is of date 60 days before the date of payment, then the date of payment shall not be construed as the time of supply of service.
Hence Self Invoice to be issued within 60 days from the document date of supplier if the payment is not made within 60 days of the document issued by the supplier and time limit as prescribed in Section 16(4) to be complied.
Section 16(4)- A registered person shall not be entitled to take input tax credit in respect of any invoice or debit note for supply of goods or services or both after the due date of furnishing of the return under section 39 for the month of September following the end of financial year to which such invoice or invoice relating to such debit note pertains or furnishing of the relevant annual return, whichever is earlier.
In our view Section 16(4) shall apply to Self Invoice as the provision does not make any distinction between the Invoice issued by the Supplier or Recipient.