The US offer came a day after President Barack Obama called Israeli Prime Minister Benjamin Netanyahu to offer to facilitate an end to Hamas rocket fire and Israeli aerial assaults that have killed 100 Palestinians in Gaza.
"There are a number of relationships the United States has that we are willing to leverage in the region to try to bring about an end to the rocket fire that's originating in Gaza and, as we saw this morning, in Lebanon," said White House spokesman Josh Earnest.
On that occasion, the United States worked with Egypt to broker a deal to end eight days of fighting between Israel and Hamas.
It is unclear, however, whether such an approach would work again.
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Then Egyptian president Mohamed Morsi, who had contacts with Hamas, has been deposed, and the new government has cracked down on the Palestinian militant group.
Washington's own influence may also have eroded, given the failure of a US-brokered peace effort between Israelis and Palestinians.
"It is evident that civilians have been killed, including children. That's tragic, and we offer our condolences to the families," Earnest said.