An electrosurgical instrument which is capable of selective operation in any of (i) a plasma-generating mode for surface coagulation, (ii) a non-ionising radiation mode for deeper coagulation, e.g. using microwave energy, and (iii) a liquid administration mode for conveying liquid to a treatment site, e.g. to constrict a bleeding vessel so that a clinician can get control of the bleed. These operating modes may be provided in an electrosurgical instrument that is physically configured to be suitable for applying pressure to a tissue vessel, e.g. to act as a tamponade to stem bleeding.