Need assistance in selecting an integrated/power amp.

What is your budget for speakers? Floor standing or stand mounted?

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It's around 3000 US. Can push it to 3,500. 

Seriously, how can anyone recommend a pair of speakers for usd 3000-3500?  There a literally dozens to choose from and they all sound different.  What sounds best to one person may sound terrible to you.  This is the one component that you must hear for yourself.

Giving guidance on electronics is easy compared to speakers.  You asked a clear question in the title of your thread - should I get an integrated amp or a power amp to be added to my HT system.  You have gotten good guidance but have now sidetracked into asking about speakers. 

And while I agree that speakers should be chosen first and then an amp that will properly drive those speakers, you will find asking for recommendations for speakers are often meaningless.  We don't know what kind of sound you like or even what brands are available in India.  So suggest you go out and audition a few, tell us what you heard and then we can go back to the electronics discussion and let you know if the integrated or power amps you are considering are up to the task.

I recently heard a Belles Aria integraed ($1,900) with Vandersteen Treo speakers ($6,900). It was an awesome combination. Very impressive!
I know that is over your budget of about $6,000 combined; but I think the Aria is a very, very good value and should sound great with Vandersteen Model 2CE, or whatever model you can afford.

If you don't like the Vandersteen sound, and not everyone does, I would look in to ELAC and SVS. I've heard the SVS Prime Tower and enjoyed it very much. My favorite with my Rotel integrated are Canton Ergos.

Thank you all for your time and your suggestions. I'll audition them if i can find them.  I am now seriously considering the Parasound A21 and Golden Ear Triton 1 amongst others like the Castle Avon 5 etc. I will have to travel to Mumbai for a demo though :(