Upvote:2
According to the Ministry of Home Affairs, that's cutting it a bit close
Extension requirements for foreign national:
Foreigners must submit application for extension of residential permit/visa at least 60 days before the date of expiry of respective residential permit/visa.
Late Renewal of Residential Permit:
A foreigner who has delayed for renewal of RP, on application, if delay is condoned will be charged a penalty in Indian currency equivalent to US $30/- for late renewal.
You may want to see whether you can renew through the e-FRRO online portal or book an appointment at your local FRRO office (and have confirmation with you when you arrive at the border).