A method of well intervention in a subsea well having a wellhead on the sea floor includes extending an intervention hose downwardly through the sea from a hose drum installed on a vessel on the sea surface into the well through a subsea intervention stack installed on the wellhead. The intervention hose is exposed directly to the ambient sea between the vessel and the top of the subsea intervention stack. In a method of well intervention, an intervention hose extends from a hose drum and into a well. The hose is driven out of the well without the use of an injector by pulling the hose out of the well with the hose drum. In a method of well intervention, an intervention hose extends from a hose drum towards a wellhead, with the hose being guided downward from the drum towards the wellhead by a guiding sheave.