For indians and Non resident indians, it is quite easy to open account.  but for non indians, it may require some approval and all.  I would suggest non indians also to go to the icicibank, hdfcbank, utibank  sites and mail them your request to open an account with them along with the request to open dmat account and trading account.  in some cases, they may arrange to get any approval required in the matter.  Please let me also be informed their feedback, so that i shall suggest you something, possible.