A problem relating to the car's head gasket can cause early versions of the 2.3-litre Ecoboost engine to burn coolant fluid, creating white smoke during cold running.
"Owners of 2016-17 Focus RS vehicles are being offered a free inspection and repair, regardless of warranty or mileage status, for concerns of white exhaust smoke and/or coolant consumption stemming from an issue with cylinder head gaskets," the brand said in an official UK statement.
"Ford dealers will test the cooling system, replace the cylinder head gasket and may replace the cylinder head, as required, at no cost to the customer."
Ford UK has set no deadline for owners to bring their cars in by.
Prior to the statement, Ford had already replaced several affected engines with all-new units built to the latest specification under warranty. No official line as to the root cause of the problem has been released, but a large number of posts on internet forums from Mk3 Focus RS owners have suggested that the head gasket is failing to seal the engine block to the head effectively.