Non-uniform, event-driven sampling of signals can be advantageous for different applications. In this paper, we focus on event-based sampling strategy for electricity metering purposes. Specifically, we propose an improvement in the enhanced event-driven metering (EDM) technique introduced by Simonov et al. Our solution provides additional flexibility on the types of measurements to be sent, by including the option to reduce the sending of consecutive measurements. Numerical results are presented for 4 different open databases of electricity consumption and consistently show that, in relation to the other options, our proposed strategy leads to both: (i) reduction in the amount of measurements sent, and (ii) improvements on the signal reconstruction by decreasing its reconstruction error. These two aspects are extremely useful in a scenario of massive deployment of measurement devices.