How to search for software internships

I am a computer engineering student from a tier 3 college in Pune. Now that I am in the last couple of months of my 6th semester multiple companies have come to our campus but I haven't gotten an internship. How do i search for internships off campus? Are there any tips from some experienced people like what do companies look at when giving out internships. Since last month I started applying off campus using linkedin and other websites but I am not getting any callbacks for interviews or even online tests. Previously I haven't done any internships but have done projects which I have out on my resume.

Please forgive me if the format of this post is wrong, vague or broad. I am writing a grapevine post for the first time.