Methods of enhancing fluid flow through a vascular site occupied by a vascular occlusion, as well as systems and kits for use in practicing the same, are provided. In practicing the subject methods, the vascular site is flushed simultaneously with a first dissolution fluid (e.g., an organic matter dissolution fluid and / or an inorganic matter dissolution fluid), and a second dissolution fluid attenuating fluid, where flushing is carried out in a manner such that only a surface of the vascular occlusion is contacted with the non-attenuated dissolution fluid. Examples of dissolution fluid / dissolution fluid attenuating fluid pairs include: (1) oxidizing agent fluid and fluid comprising oxidizable neutralizing agent; (2) surfactant fluid and phosphate buffered saline; (3) acidic solution and phosphate buffered saline; etc. Flushing is carried out in this manner for a period of time sufficient for fluid flow through the vascular site to be enhanced, e.g. increased or established. The subject methods, systems and kits for practicing the same find use in the treatment of a variety of different vascular diseases characterized by the presence of vascular occlusions, including both partial and total occlusions.