<p>Synaptic crosstalk occurs when neurotransmitters spill over from one synapse to another, profoundly affecting the firing patterns and signal transmission of the nervous system. This paper investigates the dynamical behaviors of a thermosensitive neuronal network with synaptic crosstalk and time delays. Based on bifurcation diagrams, phase portraits and time series, the effects of coupling strength, time delay, temperature and external excitation on the dynamical behaviors of the neuronal network are studied. Negative coupling strength induces a period-1 firing pattern in the neuronal network. However, for a value of strong excitatory coupling, the system exhibits bursting dynamics. Time delay affects the transition of firing patterns. Periodic and chaotic windows are observed, and multiple firing modes coexist, such as the coexistence of period-1, multi-period, and quasi-periodic firing. Moreover, the multi-stable dynamics of the neuronal network are sensitive to external stimulation frequency and temperature. A circuit platform is constructed, and the consistency of the results is verified.</p>