Four cases, including UBS, remain unresolved, a Financial Market Supervisory Authority (Finma) spokesperson confirmed on Tuesday.
The other three banks were not named.
“There will be always cases of money laundering,” said Mark Branson, chief executive of Finma, reports Bloomberg. “Our biggest fear is that Swiss institutions or foreign units of Swiss banks get involved in big money laundering cases.”
Finma fined Coutts & Co in February after the international private banking unit formerly owned by Royal Bank of Scotland Group allowed $2.4bn (£1.9bn, €2.2bn) worth of assets related to the Malaysian development fund to flow through its accounts in Switzerland
It also punished Lugano, Switzerland-based BSI SA and Falcon Private Bank of Zurich last year.