In this thesis, Density Functional Theory (DFT) methods have been applied to study the mechanisms of three different multicomponent organic reactions. Also, a new synthetic procedure for the preparation of quinolinium salts is presented, and its mechanism also studied by DFT calculations. The thesis summarizes the work realized in two universities, and is divided in the following way: The first part of the thesis concerns the development of an experimentally simple, but mechanistically complex, reaction for the formation of quaternary quinolinium salts catalyzed by palladium salts. This multicomponent process uses readily available propylamine and its derivatives as starting materials. Through DFT studies a mechanism through the activation of two aliphatic C-H bonds is proposed. The second part focuses on the mechanistic investigation of a three-components reaction, namely terminal alkynes, CO₂ and allylic chlorides, mediated by an N-heterocyclic carbene catalyst that yields propargylic esters. By DFT calculations, the rate-limiting step was identified to be the reaction between the carboxylated catalyst and the allylic chloride. Through DFT modelling, we were also able to understand the limitations of this reaction. The mechanism of a multicomponent reaction in which allylic alcohols are transformed into α-functionalized carbonyls was also investigated. The reaction relies on an umpolung strategy that enables to react enol intermediates with different nucleophiles. By DFT studies, a mechanism via enolonium intermediates is proposed, which provides an understanding of the selectivity of the reaction. The final chapter of the thesis deals with another multicomponent solvent-free reaction for synthesizing propargylamines catalyzed by manganese via a KA² coupling. DFT studies were undertaken and a mechanism via manganese phenylacetylide species is proposed.