Administration officials and Republican negotiators say the money can be taken from health care providers like hospitals and nursing homes without directly imposing new costs on needy beneficiaries or radically restructuring either program.

Before the talks led by Vice President Joseph R. Biden Jr. broke off 12 days ago, negotiators said, they had reached substantial agreement on many cuts in the growth of Medicare, which provides care to people 65 and older, and Medicaid, which covers lower-income people. Those proposals are still on the table when Congress reconvenes this week, aides said, and are serious options that Democrats could accept in exchange for Republican concessions that raise revenues…

Negotiators said they were seriously considering cuts in Medicare payments to hospitals for uncollectible patient debt and the training of doctors; steps to eliminate Medicare “overpayments” to nursing homes; a reduction in the federal share of some Medicaid spending; and new restrictions on states’ ability to finance Medicaid by imposing taxes on hospitals and other health care providers.