Gla domain variants of human Factor VII or human Factor VIIa, comprising 1-15 amino acid modifications relative to the human Factor VII or human Factor VIIa sequence shown in SEQ ID NO:1, wherein a hydrophobic amino acid residue has been introduced by substitution in position 34; or having an amino acid substitution in position 36; and use of the variants for the treatment of intracerebral haemorrhage (ICH) or trauma.