The Federal Reserve Bank of New York may ask foreign lenders for more detailed daily reports on liquidity as the U.S. steps up monitoring of risks from Europe's sovereign debt crisis, according to two people with knowledge of the matter.

Regulators held informal talks with some of the largest European lenders about producing a “fourth-generation daily liquidity” or 4G report, according to the people, who asked for anonymity because communications with central bankers are confidential. The reports may cover potential liabilities such as foreign-exchange swaps and credit-default swaps, said one person. The U.S. has already increased the number of examiners embedded in these banks, the person said.

Concern is growing that European lenders may falter as Greece teeters on the brink of insolvency. U.S. Treasury Secretary Timothy F. Geithner has warned that failure to bolster European backstops would threaten “cascading default, bank runs and catastrophic risk” for the global economy. European finance ministers were scheduled to meet today on how to shield banks from the fallout of a Greek default.