Inflationary paradigm has emerged to be the dominant paradigm to understand the early universe and the origin of structure in the universe for more than three decades. The speaker will briefly discuss the key features of inflationary paradigm as well some of the important issues with cosmic inflation as understood in Modern Cosmology. The talk will mostly be focused on the issue of initial conditions of inflation. After giving an overview of the subject, the speaker will narrow down the discussion to initial conditions for inflation in an FRW patch in the early universe emphasising the difference between power-law potentials and asymptotically flat potentials, which are now favoured by Planck Satellite results. The speaker will conclude followed by a discussion on the issue of large initial spatial curvature and possible solutions of the problem.