Short-term synaptic facilitation is a transient increase in synaptic strength elicited by one or several action potentials, and decaying on time scales from tens to hundreds of milliseconds. Facilitation has been observed in a wide variety of neural systems, from invertebrate motoneuron junctions to mammalian neocortical synapses. We explore the potential role that facilitation plays in shaping the collective activity dynamics of synaptically coupled neuronal populations. In particular, Figure 1 illustrates multistability exhibited by a network of two neurons, which arises from the interplay between the facilitation of the inhibitory synapses coupling the two cells, and the hyperpolarization-activated currents (T-currents) that cause each cell to fire a rebound burst in response to strong inhibition provided by another neuron. In the left part of the Figure, the first cell is seen to fire tonically, while the second (identical) cell is prevented from firing by the inhibitory synaptic input it receives from the first cell. The hyperpolarization-activated currents are inactivated in both cells in this state (not shown). However, when the first cell is strongly hyperpolarized (2nd magenta arrow), the T-current is activated, resulting in the firing of a rebound burst. This burst of action potentials allows facilitation to build up, which increases the synaptic hyperpolarization of the second cell, causing it in turn to fire a rebound burst of action potentials. This produces the stable anti-phase bursting state shown on the right. In addition, a weaker hyperpolarization (1st magenta arrow) leads to an intermediate meta-stable irregular firing state, where both the facilitation and the T-currents are only partially activated. We hope that understanding such interplay between facilitation and cell activity properties will help to elucidate the biological role of facilitation in regulating the activity of neural circuits.