Israel-Gaza-Lebanon live updates: Missile from Yemen targeting Israel intercepted

The U.S. is currently "in active discussions" with Israel and other countries to try to secure a cease-fire between Israel and Hezbollah, according to a U.S. official.

The Biden administration has floated at least one draft proposal aimed at temporarily halting the conflict, but Israel has signaled it intends to move forward with battle plans aimed at ending months of tit-for-tat exchanges with Hezbollah across its northern border by decimating the militant group, two officials told ABC News.

Negotiations are still ongoing, but at this hour officials said they are growing increasingly resigned to full-blown warfare on a second front in the Middle East.

The U.S. also has little leverage over Hezbollah, so it’s unclear whether the group would abide by any such agreement to pause the fighting, officials said.

The administration could potentially rely on partners with direct ties to Hezbollah to contain the group, but all of its efforts to halt its attacks on Israel over the last year have been unsuccessful, officials said.

The U.S. is still pursuing "concrete options" for de-escalation, and Israel’s ambassador to the United Nations said on Tuesday that Israeli leadership remained "open-minded," officials said.

The Biden administration is also still fervently focused on keeping Iran -- a chief military and financial supporter of Hezbollah -- on the sidelines through indirect diplomacy. Multiple conversations between countries that communicate directly with Iran are taking place on the sidelines of United Nations General Assembly, officials said.

-ABC News' Shannon K. Kingston and Michelle Stoddart

Israel Prime Minister Benjamin Netanyahu said the operation in Lebanon will continue, despite international calls for a diplomatic resolution to Israel's conflict with Hezbollah.

"I cannot detail everything we are doing, but I can tell you one thing, we are determined to return our residents in the north safely to their homes. We are inflicting blows on Hezbollah that [the group] did not imagine. We do it with power, we do it with guile. I promise you one thing -- we will not rest until they come home," Netanyahu said.

When asked about how real the threat of a wider war in the Middle East really is, President Joe Biden said "an all-out war is possible," but added that there's still the opportunity for a resolution contingent on Israel changing "some policies."

"We’re still in play to have a settlement that can fundamentally change the whole region," Biden said, in an interview on "The View," which covered a range of topics.

"The Arab world very much wants to have a settlement, because they know what it does for them. They're willing to make arrangements with Israel and alliances with Israel, if Israel changes some policies."

Biden said he has a strong relationship with Prime Minister Benjamin Netanyahu, but he said that there "needs" to be a two-state solution.

"I don't agree with his position. There needs to be a two-state solution. Ultimately, it needs to happen. There's a way to do it, and they have a possibility," Biden said.

Biden added that if a cease-fire agreement is reached in Lebanon, then they'll have to deal with Gaza, but he insisted that he and his team are "using every bit of energy" to get the deal done.

Israel is preparing a ground invasion into Lebanon, according to Lt. Gen. Herzi Halevi, the chief of the General Staff for the Israel Defense Forces.

"We will continue, we are not stopping; we keep striking and hitting them everywhere. The goal is very clear -- to safely return the residents of the north," Halevi said Wednesday, while visiting Israeli troops at the northern border.

"To achieve that, we are preparing the process of a maneuver, which means your military boots, your maneuvering boots, will enter enemy territory, enter villages that Hezbollah has prepared as large military outposts, with underground infrastructure, staging points, and launchpads into our territory and carry out attacks on Israeli civilians," Halevi said.