Since you have not mentioned your specialization in PG, it is difficult to understand what exactly is your background.
Be that as it may, please be advised that there are only two Institutes of National importance, and absolute professionalism, when it comes to choosing HR as a profession. These institutes are the Tata Institute of Social Sciences, Mumbai) (TISS) and the Xavier's Labor Relations Institute. (XLRI). Both these institutes have entrance examinations, followed by Group Discussion and interview for the PG courses in HR.
Apart from these, the IIMs also teach HR as one of the specializations, but there will be hardly anyone in IIMs who takes HR as a main subject. This is because they always find Finance and Marketing as more lucrative.
Another big source of HR professionals is the Schools of Social Work, affiliated to some University or the other, with a good HR specialization. The Madras School of Social Work, Chennai, for instance, now has a Master's Degree in HR itself, apart from the MSW degree. The Loyola College, Chennai, also has a very good HR degree through its Social Work Department. The DG Vaishnav College, Chennai, is also very good for the MSW degree with HR specialization.
Apart from these, the Indore School of Social Work, and the Baroda School of Social Work, have the MSW degree with HR specialization and are very well known for their placement records.
Please note that for a successful career in HR, you also need to at least a short-term course in SAP HR, from any local institute in any one of the metros. This is mainly because, most of the organizations have SAP HR installed for their IT infrastructure.
Apart from SAP HR training, please do also note that you need a big grounding in what is called Industrial Relations, where you will have to fight with the trade unions day in and day out, control them, handle disciplinary proceedings, handle a strike or a lock-out, or be part of a negotiation team that signs a bipartite or tripartite settlement with the trade unions and so on. In short, you will have to play the Management game here.
As regards the other and vital aspect of HR, that is, HRD, please do note that this Human Resources Development is mostly only training. Only some organizations have sophisticated HR practices like Succession Planning, Performance Appraisal and so on. Still, you need to attend executive development programs conducted by some professional organizations like CII, hone your skills and work in at least three organizations. While the first experience has to be in hard core Industrial Relations for ten years, where you should also have handled some two thousand people, managed welfare practices, grievance handling, recruitment and selection and so on, the second job should be in HR with a distinct HR focus, and the third job should be in the Corporate Office, where you will be offering advise to the Unit level HR people.
All the very best.