Following the recall confirmation, the Driver & Vehicle Standards Agency (DVSA) criticised BMW's failure to provide timely information on its faulty vehicles, saying the company had not made the agency aware of 19 cases of electrical failure between 2011 and 2014, as it is was required to do.
The fault isn't exclusive to cars powered by certain fuels, so the recall applies to both petrol and diesel models.
The motor company first issued a recall after the death of Narayan Gurung, a former Gurkha soldier who was killed on Christmas Day in 2016 when his auto crashed into a tree after he swerved to avoid a broken-down BMW.
The German carmaker had already issued a safety call of about 36,000 petrol vehicles a year ago but has extended it after acknowledging the fault could affect more cars.
Cars affected by the electric fault, and therefore covered under the recall, include all BMW 1 Series, 3 Series, the Z4 sports auto and X1 SUVs that were manufactured between March 2007 and August 2011.
Which? managing director of home products and services, Alex Neill, said: 'This recall from BMW raises serious questions about the adequacy of the auto recall system in this country. The BMW had suffered an electrical fault that cause its brake lights to fail, leaving it stranded on a dark A-road.
"I just thought to myself if I was driving on the motorway with my family in the auto, that could have been very unsafe", he said. The fault, according to some BMW owners, is with a cable which supplies current to a fuse box which burns out.
The automaker has received complaints about electrical faults that lead to complete failure of the functioning of the vehicle, still in 2011.
'However, after examining the growing evidence, DVSA contacted BMW in December 2016 to ask it to conduct a full safety recall of the affected vehicles'.
The company proceeded to recall 500,000 cars in the U.S. in 2013, as well as smaller recalls in Australia, Canada and South Africa, to address the problem, leaving questions as to why it did not recall cars in Britain until after Gurung's fatal accident.
A BMW spokesman said: 'Now we recognise the need to widen the recall to capture a larger cohort of cars. These numbers do not include the latest issue.
"We are therefore announcing today that we will take the proactive step of expanding the existing United Kingdom recall to cover all vehicles potentially affected by the power supply issue".