An isolated cell obtained from a subepithelial layer of a mammalian umbilical cord tissue that can be self-renewed and expanded in culture; wherein the isolated cell expresses at least three cell markers selected from the group consisting of CD29, CD73, CD90, CD166, SSEA4, CD9, CD44, CD146 or CD105; and wherein the isolated cell does not express the cell markers CD45, CD34, CD14, CD79, CD106, CD86, CD80, CD19, CD117, Stro-1 and HLA-DR.Una célula aislada obtenida de una capa subepitelial de un tejido de cordón umbilical de mamífero que se puede autorrenovar y expandir en cultivo; en donde la célula aislada expresa por lo menos tres marcadores celulares seleccionados del grupo que consiste en CD29, CD73, CD90, CD166, SSEA4, CD9, CD44, CD146 o CD105; y en donde la célula aislada no expresa los marcadores celulares CD45, CD34, CD14, CD79, CD106, CD86, CD80, CD19, CD117, Stro-1 y HLA-DR.