The popular organic superbases 1,5‐diazabicyclo[4.3.0]non‐5‐ene (DBN) and 1,8‐diazabicyclo[5.4.0]undec‐7‐ene (DBU) underwent annulation with electron‐deficient propargylic alcohols [EWG = CN, C(O)Ph, CO2Me] to afford functionalized condensed hexahydropyrimidine systems, [1,3]oxazolo[3,2‐a]pyrrolo[2,1‐b]hexahydropyrimidines and [1,3]oxazolo[3′,2′:3,4] hexahydropyrimido[1,2‐a]azepines, in good to high yields. The reactions proceeded regioselectively and, in most cases, stereoselectively under mild conditions (without catalyst, 20–25 °C). The synthesized compounds, owing to their potential rich chemistry, are novel promising precursors for pyrimidine‐based pharmaceuticals.