Lateral entry

See, I am not well updated on this front, but according to what I've heard, for the matter of fact no central govt. run college offers lateral entry. But in private and semi-private universities, it is still possible. For example GGSIPU offers lateral entry, but the migration is allowed only within the colleges that come under IPU.
Lateral entry is also offered by DTU, but only to Diploma holders seeking admission to 2nd year of B.Tech programme. So, you can't apply there as well as you already enrolled in B.Tech.

Vishwakarma Institute of Technology
College of Engineering Pune
Sinhgad College of Engineering
Bharati Vidyapeeth University College of Engineering
Maharashtra Institute of Technology Academy Of Engineering
Rajarshi Shahu College of Engineering,
And the procedure is LEET entrance exam.

The faculty and department of aeronautical engineering is one of the best in India. We have really qualified professors who are always ready to help and have a very lucid form of teaching. The placement at undergraduate level is not very good since most students prefer to go for higher studies. The knowledge obtained at the end of 4 years is not enough to work in our complex industry. Other than that companies such as Textron Avionics, Quest Global, Honeywell, GE etc come for campus placements.

Kindly visit this link:
http://www.google.co.in/url?q=http://www.vrsiddhartha.ac.in/syllabus/vr10-mtcse.pdf&sa=U&ved=0ahUKEwiVg8T5w4PUAhVDvI8KHc3VC0YQFggPMAA&sig2=TiUk8kP1I3_pI4NoYspqBA&usg=AFQjCNF4vXZZwxBZAh191RhDhc-or99W3g

What's your JEE or State Engineering Exam score. It depends on your score and your category while getting a college. Do proper research about colleges and there cut-offs. Search for colleges in your city/town or state. You can get some good colleges in Pune.
Good luck.

There are limited government colleges who get the admission through lateral entry, you can know about that after your result, if your result is good then you chances for government colleges will increase.

GMR Institute of Technology
Velagapudi Ramakrishna Siddhartha Engineering College
SRKR Engineering College
Aditya Engineering College
GVP college of Engineering
Vignan's University

First of all, you have to qualify LEET entrance exam and score good to get the good college as per your choice of college and branch.