Preemption of a container in a secure computation environment

A container corresponding to executable code may be received. The container may be executed in a secure computation environment by performing one or more operations specified by the executable code of the container. An instruction to terminate the executing of the container may be received from a high level operating system (HLOS) that is external to the secure computation environment. A determination may be made as to whether the container is associated with a preemption privilege and the executing of the container may be terminated after receiving the instruction from the HLOS based on the determination of whether the container is associated with the preemption privilege.