The invention relates to the use of an isotonic composition buffered with lactate/phosphate in a physiologically acceptable pH range (6 - 7.5), with low concentrations of glutamate and a physiological or smaller concentration of glucose, in the production of a peritoneal dialysis solution for the acute treatment of stroke and other cerebrovascular diseases. The application of this dialysis solution in the peritoneal cavity significantly reduces the volume of cerebral infarction associated with the occlusion of the middle cerebral artery and, consequently, the associated neurological damage. The invention is suitable for use in biomedicine in cerebrovascular pathologies, including hemorrhagic or cerebral ischemic stroke.