Are there any chances of getting in the top universities if i have only one published paper and havent done any mooting during my LLB? Or they wont even look at my application?
What u say?

P.S. I was amongst the top 10% in my LLB class, have one year experience and one internship in UN.

i think you've got a good chance. top 10% is good, and work exp and publication's always good.