Hey Aman..
The cut off for admission in any of the National Law Universities through CLAT in the previous year was a rank in the range of 1600 for the general category. Considering that your rank is 3140, you do not seem to have any chances for any of the National LawUniversities if you belong to the general category in any subsequent allotment lists. Even for NLU Sonipat chances are not much.
Usually there are vacancies in the lower NLUs as people leave their seats for other colleges. You might have a fair chance then. But vacancies are very uncertain and you might/ might not have a chance.
For vacancies, you need to catch up with official websites of each lower tier NLU. As thw vacancies are handled by NLUs themselves and not through any common mode.

Also, if you have other optiona various non NLU law colleges and even private colleges are better than the lower tier NLUs. So you can prefer joining those instead of waiting for vacancies if the fees isn't a problem. As there isn't much difference in fees of various NLUs and private colleges too.
Other than colleges with their own entrances, There are various Private Colleges that accept CLAT scores other than the National Law Universities. You might even have a chance for colleges under IPU, Delhi if you applied there.

Here is a list of a few of them.
Jindal Global Law School, Sonepat
Kirit P. Mehta School of Law, Mumbai
NIRMA UNIVERSITY, Ahmedabad
ICFAI Law School, HyderabadSchool of Law, GITAM University, Visakhapatnam
Alliance School of Law, Bangalore
IFIM Law College, Bangalore
LLOYD Law College,Greater Noida
Amity University, U.P.
Asian Law College, Noida
Manipal University, Jaipur

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