The government department is now looking to supplement current laws regarding lost or forgotten-about money held in UK bank accounts.
A new investigation into "dormant accounts" has been announced by the government.
Recent laws have allowed the Treasury to put money left in current accounts and untouched for 15 years into reclaim funds - money from which would then be used to pay for community projects. Banks have also been running campaigns to reunite customers with lost or forgotten-about deposits and cash.
The Treasury is now to consult on secondary legislation regarding the accounts, to go before parliament later this year. The new laws could expand the reach of the control of the Financial Services Authority to cover the reclaim funds.
Smaller building societies would also be obliged to publicly disclose details on dormant accounts held by customers. Currently, only banks are obliged to give this information up.
Commenting on the new consultation, Ian Pearson, economic secretary to the Treasury said: "The government is committed to carefully investing this unclaimed money back into society, while making sure that people can retrieve money they may have forgotten that they had.
"I want to welcome this consultation as a step towards delivering a scheme that is fair for bank account holders while benefiting good causes right across the UK."
Account holders retain the right to get their money back on application, even if it has previously been transferred into a reclaim fund and spent by the government.
