Catalyst compositions for use in forming polyurethane products include a gelling catalyst, a trimerization catalyst, and a cure accelerator. The gelling catalyst is a tertiary amine, mono(tertiary amino) urea, bis(tertiary amino) urea, or a combination of any of these. Any known trimerization catalyst may be used. The cure accelerator may be a diol having at least one primary hydroxyl group, and having from five to 17 chain backbone atoms chosen from carbon, oxygen, or both between the hydroxyl groups, provided that at least five of the backbone atoms are carbon. Alternatively or in addition, the cure accelerator may be a polyol having three or more hydroxyl groups, at least two of which are primary, and having molecular weights between 90 g/mole and 400 g/mole. Delayed initiation of the polyurethane-forming reaction and/or reduced demold time for producing the polyurethane part can be obtained by using these catalyst compositions.