A preservation solution for organs waiting to be transplanted is disclosed the method of using the solution in a transplantation procedure is also disclosed. The preservation solutions comprise a balanced isotonic aqueous solution comprising sodium, potassium, calcium, magnesium and bicarbonate ions in a physiologically acceptable amount, together with an effective amount of a mutein of the C5a anaphylatoxin which is a C5a receptor antagonist wherein the amino acid residue naturally occurring at sequence position 69 is mutated.