Burning fossil fuels emits a significant amount of CO2, causing climate change concerns. CO2 Capture and Storage (CCS) aims to reduce emissions, with fullerenes showing promise as CO2 adsorbents. Recent research focuses on modifying fullerenes using an electric field. In light of this, we carried out DFT studies on some B, N, and P doped C20 (C20-nXn, n = 0, 1, 2, and 3; X = B, N, and P) in the absence and presence of an electric field in the range of 0-0.02 a.u.. The cohesive energy was calculated to ensure their thermodynamic stability showing, that despite having lesser cohesive energies than C20, they appear in a favorable range. Moreover, the charge distribution for all structures was depicted using the ESP map. Most importantly, we evaluated the adsorption energy, height, and CO2 angle, demonstrating the B and N-doped fullerenes had the stronger interaction with CO2, which by far exceeded C20's, improving its physisorption to physicochemical adsorption. Although the adsorption energy of P-doped fullerenes was not as satisfactory, in most cases, increasing the electric field led to enhancing CO2 adsorption and incorporating chemical attributes to CO2-fullerene interaction. The HOMO-LUMO plots were obtained by which we discovered that unlike the P-doped C20, the surprising activity of B and N-doped C20s against CO2 originates from a high concentration of the HOMO-LUMO orbitals on B, N and neighboring atoms. In the present article, we attempt to introduce more effective fullerene-based materials for CO2 capture as well as strategies to enhance their efficiency and revealing adsorption nature over B, N, and P-doped fullerenes.