Methods for preserving, transporting and/or storing natural and bioengineered living biological materials represent significant improvements over traditional compositions and methods for preservation, transport and/or storage of biological material by the virtue of their ability to significantly prevent and minimize loss of functional and physical (cell, tissue, and/or organ) integrity to occur in the biological material being preserved, transported and/or stored, particularly at temperatures above freezing point. The methods are also highly suitable for use in cosmetic procedures, in particular in transplantation of biological materials, especially for transplantation of autologous or allogeneic biological materials.