A practical and efficient two‐step protocol for the synthesis of several new 4,6,7,8,8a,9‐hexahydropyrrolo[1,2‐a][1,2,3]triazolo[1,5‐d]pyrazines is described. The first step involves the AuBr3‐catalyzed three‐component coupling reaction of terminal alkynes, aldehydes, and amines under solvent‐free conditions to provide the requisite propargylamines. The reaction tolerates a high structural diversity, requires only short reaction times, gives high diastereoselectivities, and is environmentally benign. Furthermore, the propargylamine products undergo catalyst‐free intramolecular azide–alkyne [3 + 2] dipolar cycloaddition reactions to give the 4,6,7,8,8a,9‐hexahydropyrrolo[1,2‐a][1,2,3]triazolo[1,5‐d]pyrazines in excellent yields and with excellent diastereoselectivities.