The invention relates to a process for reforming a hydrocarbon feed stream comprising a hydrocarbon gas and steam, said process comprising the steps of: a) in a synthesis gas generation reactor carrying out a reforming reaction of the hydrocarbon feed stream over a first catalyst, thereby forming a first synthesis gas; b) providing a heated CO2 rich stream to a post converter comprising a second catalyst; and c) in said post converter carrying out a methanation, steam reforming and reverse water gas shift reactions of the first synthesis gas and the heated CO2 rich stream to produce a product synthesis gas, wherein said second catalyst is heated electrically by means of an electrical power source. The invention moreover relates to a system arranged to carry out the process of the invention.