Consumer Minister Jo Swinson said the Financial Conduct Authority was committed to considering whether it could introduce measures to limit costs for those calling banks, insurance companies and investment brokers, along with retailers.
She said: "For too long, some businesses have been trying to extract every extra penny from their loyal customers.
"From next year, if something goes wrong with a cooker, or commuters want a refund on their season ticket, they will now pay the same to phone a helpline as they do to call friends or family.
"We want consumers to be confident to shop with a range of traders. The new rights announced today will mean consumers are entitled to the same level of protection whether they are purchasing goods or services online, at home or in a shop."
More top news
David Davis is hoping to push Brexit withdrawal talks towards discussions on a future trading relationship between the UK and EU.
A fine start to Sunday but rain moves in from the southwest later on.
A second police officer has died after he and a colleague were shot as they scuffled with a suspect in Florida.