Mumbai

Hi
Check all the colleges here and see where you can apply.
https://engineering.shiksha.com/be-marine-engineering-colleges-in-maharashtra-categorypage-2-62-1-0-0-1-114-2-0-none-1-0

Dear Chinky,
yes CAP Allotment is for MMS/MBA only not for PGDBM since CAP is basically for degree course and PGDBM isn't the one.
Secondly welingkar is a good option but if you got good marks then go for better one such as dalmia or so.
good luck

Engineering Diploma candidates are eligible to get direct admission in the 2nd year of B.Tech.courses.A candidate who has completed diploma engineering in any stream can get admission in the 2nd year through the lateral entry scheme.The colleges generally take admission on the basis of Diploma marks. But some of the colleges conduct entrance examination LEET(Lateral Entry Entrance Test).
Almost every college reserves some seats for Lateral Entry Scheme.
There are many colleges all over India which give admission on the basis of LES. Good luck.

IIT Bombay, Govt. college of engineering, Pune. Hope you will like from both of these choices.

You can try for Amity University.

Use link to get ingo on Mumbai : https://www.shiksha.com/top-civil-engineering-colleges-in-mumbai-all-rankingpage-53-0-0-10224-0 ; You may change location to Bangalore to get best colleges of Bangalore.