A mixed phase unstabilized hydrocarbon stream is created by partially evaporating an unstabilized hydrocarbon condensate stream, including indirectly heat exchanging the unstabilized hydrocarbon condensate stream against an effluent stream in a feed-effluent heat exchanger. The mixed phase unstabilized hydrocarbon stream is fed into a stabilizer column. A liquid phase of stabilized hydrocarbon condensate is discharged from a bottom end, while an overhead vapor stream consisting of a vapor phase comprising volatile components from the unstabilized hydrocarbon condensate stream is discharged from a top end of the stabilizer column. The overhead vapor stream is passed through an overhead condenser. The resulting partially condensed overhead stream is separated in an overhead separator into a vapor effluent stream and an overhead liquid stream. The effluent stream against which the unstabilized hydrocarbon condensate stream is heat exchanged in the feed-effluent heat exchanger comprises the vapor effluent stream.