We report thermodynamic magnetization measurements of two-dimensional electrons in several high mobility Si-MOSFETs. We provide evidence for an easily polarizable electron state in a wide density range from insulating to deep into metallic phase. Temperature and magnetic field dependence of the magnetization is consistent with formation of large-spin droplets in the insulating phase. These droplets melt in the metallic phase with increasing density and temperature, though survive up to large densities.