Common rail fuel injectors typically have difficulty in changing an injection rate during an injection event. Fuel injectors for this common rail fuel injection system include a multi-position admission valve. The admission valve is stoppable at a middle position to inject fuel at a low rate. The lower rate is accomplished by leaking some fuel to drain to reduce injection pressure. The admission valve is also stoppable at a fully open position to inject fuel at a high rate. Fuel injection events are ended, and the fuel injectors maintained between injection events, with the admission valve member in contact with a supply seat to close the high pressure supply passage. This strategy can be used in conjunction with a spring-biased needle valve member to expand fuel injector capabilities.