One-part binder compositions are described that may include a protein and a crosslinking combination. The crosslinking combination may include at least a first crosslinking compound and a second crosslinking compound. The first and second crosslinking compounds are individually crosslinkable with each other and with the protein. Examples of the protein include soy protein. Fiber products and methods of making the fiber products are also described. The fiber products may include organic fibers, inorganic fibers, or both, in a cured thermoset binder based on solutions of the one-part binder compositions.