In March, depositors fled Silicon Valley Bank (SIVB.O), withdrawing $42 billion in 24 hours, some via their mobile phones.
Information about the bank's difficulties spread fast online, creating a social media-driven bank run.
Officials said the bank turbulence added urgency to discussions of a European Commission proposal to broaden the EU's bank resolution framework, now applied to just over 100 of the biggest European banks, to smaller and medium-sized lenders.
The proposal, called Crisis Management and Deposit Insurance (CMDI) was requested by EU finance ministers in mid-2022.
It would ensure that the resolution of smaller banks could be paid for from the EU's resolution fund, financed by banks, rather than by taxpayers.