Pyrimidine is a six-membered diaza-heterocycle i. e., 1,3-diazine. It is found to be present in many biologically and pharmacologically active scaffolds like nucleotides, natural products, and drugs. The bioactivities of pyrimidine include anti-tubercular, anti-bacterial, anti-fungal, anti-viral, anti-inflammatory, anti-malarial, anti-cancer, anti-neoplastic and many more. In this review article we have summarized various synthetic approaches that involve the synthesis of these privileged building blocks by employing propargylic alcohols and their derivatives like propargylic esters and propargylic ynones as three carbon-components. Here, we have confined ourselves to the developments appeared during the period of 23 years i. e., 2000-2022.