System (2) for CO2 capture from a combustion engine (1) comprising an exhaust gas flow circuit (6) having an inlet end fluidly connected to an exhaust of the combustion engine, a heat exchanger circuit (12), a primary exhaust gas heat exchanger (H1) for transferring heat from exhaust gas to fluid in the heat exchanger circuit, at least one compressor (10) for compressing fluid in a section of the heat exchanger circuit, the compressor driven by thermal expansion of heat exchanger circuit fluid from the primary exhaust gas heat exchanger (H1), and a CO2 temperature swing adsorption (TSA) reactor (4) fluidly connected to an outlet end of the exhaust gas flow circuit. The TSA reactor includes at least an adsorption reactor unit (D4) and a desorption reactor unit (D2), the heat exchanger circuit comprising a heating section (12b) for heating the desorption unit (D2) and a cooling section (12a) for cooling the adsorption unit (D4).