Govt of India has provided scope for Indians or India origin people in outside countries and in many universities and colleges there are some quota fixed for them. There are various categories of people outside like NRI Ward / Children of Gulf NRI / Foreign National / PIO quota etc.
Your case falls in the CIWG category which means 'Children of Indian Workers in Gulf Countries'. CIWG is a facility or scheme by India for the children of Indian expatriates in Gulf countries looking for admissions in Indian Institutes. The admission process works under the Direct Admission of Students Abroad (DASA), Scheme of Ministry of Human Resource Development (MHRD), Government of India. Generally fee for these categories is on higher side.
There are many good colleges/universities for BA Economics in India and you have to select one out of that and then apply against CIWG quota. Some good colleges are -
1 Fergusson College, Pune.
2. Shri Ram College of Commerce, University of Delhi.
3. Stella Maris College, Chennai.
4. Hindu College, University of Delhi.
5. Delhi School of Economics, University of Delhi.
6. Loyola College, Chennai.
7. Ethiraj College for Women, Chennai.
8. Jadavpur University, Kolkata.
9. Christ University, Bangalore.
10. Presidency College, Kolkata.
First thing required is to register on DTE website for admission and get a unique ID. Once this is done then you have to approach the particular college or university in India and apply there for BA Economics seat against CIWG quota under the DASA scheme of Govt of India. You would be required to submit class X and class XII Mark sheet and certificate, School leaving certificate, Nationality/Citizenship certificate, Passport copy, Equivalence Certificate from Association of Indian Universities, Delhi (address: AIU house, 16 Comrade Indrajit Gupta Marg, New Delhi-2).
Clearing TOEFL or IELTS test is required and also SAT score