Finally I managed to send money to India, thru Western Union, thru local Bank Millenium.
I was not aware that there is any upper limit per day, It seems it is only USD 2,000/- per day, for India.
You need your national id or you have to use somebody else´s id. But that is okay. You need to pay some fees in local currency, to that person, as a good gesture.
Fee charged is USD 115 for USD 2,000/-. It is costly but the money reaches fast.