Hello Aspirant,

If we go through the analysis of previous year's GATE score Vs College allotment than according to the GATE 2021 score mentioned by you in the query, you have some chances in  NIT Trichy for VLSI which comes under Communication systems and the closing GATE score goes upto 680-690 in special round of counselling, also last year the closing cut-off for NIT Trichy was 681 for Communication system for General category.

You can check out previous year's cut-offs from the link given below :-

https://engineering.careers360.com/articles/gate-cutoff-for-nit-trichy

Note that the above prediction is made on the basis of latest cut-offs and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

To have a list of all those colleges which you can get based upon your GATE 2021 Score and category you can use GATE College Predictor :-

https://engineering.careers360.com/gate-college-predictor?icn=QnA&ici=qna_answer

You can also check out the GATE qualifying cut-off for GATE 2021 from the link given below :-

https://engineering.careers360.com/articles/gate-cutoff

I hope this information helps you.

Good Luck!!