An $897.3 million fine against ING Groep NV and a citation against Credit Suisse Group AG will force multinational banks to re-examine compliance controls in stopping money laundering that covers illegal bribery, white-collar crime attorneys told Bloomberg Law.

Global bribery investigations are reaching further than they have in the past as the U.S. works with authorities overseas. Banking violations are also more likely to surface as European Commission officials enhance their anti-money laundering reach.

Credit Suisse is the latest banking...