There is provided a two-pack composition for making urethane-containing structures, said composition comprising (a) a first pack comprising at least one reaction product of at least one polyisocyanate and at least one polyol, wherein said first pack has %NCO of 6% or greater, and (b) a second pack comprising at least one polyol and at least one amine catalyst, wherein the reactive mixture formed by admixing said first pack and said second pack is capable of curing in the absence of water; and wherein said reactive mixture comprises less than 3% solvent by weight based on the weight of said reactive mixture. Also provided are methods of making such urethane-containing structures, and the urethane structures made thereby.