The liquid-liquid phase separation (LLPS) of proteins and RNA molecules has emerged in recent years as an important physicochemical process to explain the organization of membrane-less organelles in living cells and cellular functions and even some fatal neurodegenerative diseases, such as Amyotrophic Lateral Sclerosis (ALS) due to the spontaneous condensation and growth of LLPS droplets. In general, the characterization of LLPS droplets has been performed by optical microscopy, where we need transparent substrates. By virtue of the liquid and wetting properties of LLPS droplets on a glass surface, there have been some technical protocols recommended to immobilize droplets on the surfaces. However, interactions between LLPS droplets and glass surfaces still remain unclear. Here, we investigated the surface diffusion of LLPS droplets on the glass surface to understand the interactions of droplets in a dynamic manner, and employed chemically modified glass surface with charges to investigate their Coulombic interaction with the surface. Using the single-particle tracking method, we first analyzed the diffusion of droplets on an untreated glass surface. Then, we compared the diffusion modes of LLPS droplets on each substrate and found that there were two major states of droplets on a solid surface: fix and diffusion mode for the LLPS droplet diffusion. While untreated glass showed a diffusion of droplets mainly, chemically modified glass with positive charges exhibited droplets fixed on the surface. It could arise from the Coulombic interaction between droplets and solid surface, where LLPS droplets have a negative ζ-potential. Our findings on the dynamics of LLPS at the solid/liquid interface could provide a novel insight to advance fundamental studies for understanding the LLPS formation.