Do colleges prefer fully funded scholarships with internal or external allowances?

 While it is unlikely that you will receive a wholly financed scholarship, you can search for scholarships that will pay most of your costs. Here is a list of the top 5 Scholarships for study abroad - 

1. GREAT Scholarships -

 Only for students with an Indian passport, covers full tuition fee if you have a confirmed offer letter from a list of 25 specific institutions, including universities such as Newcastle University, UCL London, and The University of Nottingham. This scholarship is specifically for PG students.

2. Fulbright-Nehru Master's Fellowships - 

The Fulbright-Nehru Master’s Fellowships are Indian Govt scholarships to study abroad, specifically in the US. It is a joint venture of both nations and strives to promote higher education and leadership. Note this scholarship requires a prior three years of work experience before applying.

3. Dr. Ambedkar Scheme of Interest Subsidy on Educational Loan for Overseas Studies - 

This scheme is aimed to promote education among the OBCs and the EBCs of India and create awareness about the importance of quality higher education. Note that this is a central sector scheme but as a loan, not a scholarship.

4. Erasmus Mundus Joint Master Degree - 

Yet another Indian Govt scholarship for foreign studies is the Erasmus Mundus Joint Master Degree program. The HEI of three or more nations designed and carried out this and aimed to promote and foster internationalism in prestigious universities. This scholarship focuses heavily on merit for selection.

5. Agatha Harrison Memorial Fellowship -

The Agatha Harrison Memorial Fellowship is owned by the Ministry of Human Resource Development and is funded by the Indian government. Being an Indian Govt scholarship to study abroad, this scholarship benefits one fellow and is placed at the University of London. It is purely merit based.

 Let me know the course you want to pursue to get information about course-specific scholarships too.