Disclosed are latent two-part polyurethane adhesives that rapidly develop adhesive strength when cured by application of infrared radiation containing a polyol component which includes; one or more polyols having a hydroxyl equivalent weight of 400 to 2000 and a nominal hydroxyl functionality of 2 to 4; one or more aliphatic diol chain extenders; and one or more latent room temperature organometallic catalysts; b) a polyisocyanate component containing one or more polyisocyanate compounds; and v) a carboxylic acid-blocked cyclic amidine compound and vi) a phenol-blocked cyclic amidine compound which each may be located in the polyol component or the isocyanate component. Further disclosed are methods of bonding structures together using the latent two-part polyurethane adhesives.