In Amman, Blinken has been meeting with Jordanian officials, along with Arab foreign ministers from Saudi Arabia, the United Arab Emirates, Egypt and Qatar, as well as the secretary-general of the Palestine Liberation Organization’s executive committee.
They have been meeting to craft plans to bring an end to the conflict and Gaza’s humanitarian crisis.
Blinken also met Saturday with Lebanon's caretaker prime minister, Najib Mikati.
Ahead of the Blinken visit, Jordanian Foreign Minister Ayman Safadi said in a statement that Israel must end the war on Gaza, where he said it is committing war crimes by bombing civilians and imposing a siege.
On Friday, Blinken said that preventing the escalation and spread of the nearly monthlong Israel-Hamas conflict was the top priority after he met with Prime Minister Benjamin Netanyahu and Israel's war Cabinet in Tel Aviv.
After the meeting, Blinken outlined for reporters the steps that he said must be taken to ensure an attack like Hamas’ on October 7 never happens again and to ensure a "better tomorrow" for the people of Israel and Palestinians.
"We've been clear that as Israel conducts its campaign to defeat Hamas, how it does so matters. It matters because it's the right and lawful thing to do. It matters because failure to do so plays into the hands of Hamas and other terror groups," Blinken said.
"There will be no partners for peace if they're consumed by humanitarian catastrophe and alienated by any perceived indifference to their plight," he said.
The United States stands behind Israel's right "and obligation" to defend itself, Blinken said, but he also called for Israel to pause military operations and allow more humanitarian aid into Gaza. Protecting Palestinian civilians is the second priority of his trip, he said.
In response, Netanyahu said, "We're continuing with all our force, and Israel is refusing a temporary truce that doesn't include the release of our hostages." U.S.-designated terror group Hamas took 230 hostages and killed 1,400 people in its attack.
Hundreds of thousands of Palestinians have been left homeless by Israeli airstrikes in response to the Hamas terror attack. The Hamas-run health ministry said Friday the death toll in the enclave has topped 9,250, the United Nations said.
Blinken said that 100 trucks a day are now entering the area through the Rafah border crossing from Egypt, but that it is still not enough. Aid needed to increase "substantially and immediately" into Gaza, he said, adding that getting American citizens and other foreign nationals out of Gaza is his third priority. He said Israel indicated it was committed to enabling increased aid into the area.
Blinken was asked about a speech made Friday by Lebanon's Hezbollah leader Hassan Nasrallah.
Nasrallah denied any involvement in the October 7 attack on Israel and did not announce an intention to enter the war, saying that in effect Hezbollah already had entered the war with its weekslong exchange of rocket and artillery fire with Israel.
"With regard to Lebanon, with regard to Hezbollah, with regard to Iran," Blinken said, "we have been very clear from the outset that we are determined that there not be a second or third front opened in this conflict." Blinken spoke to reporters in Israel, noting the United States has deployed two aircraft carrier battle groups in the region as a deterrent to a widening conflict.
Blinken's visit comes as Israeli ground troops have surrounded Gaza City amid the wider diplomatic efforts to bring a halt to the Israeli-Hamas war so greater humanitarian aid can enter Gaza.
The United Nations and various aid agencies are warning of a humanitarian catastrophe in Gaza unless greater amounts of aid are allowed to enter the territory. Israel imposed a total blockade on Gaza shortly after the Hamas attack. That and the relentless airstrikes have led to shortages of food, clean water and fuel in Gaza, home to some 2.3 million people.
Meanwhile, U.S. Defense Secretary Lloyd Austin has issued a memo pausing military support for congressional travel to Israel and restricting visits by many senior military leaders.
A senior defense official, speaking to VOA on condition of anonymity, said the decision was made because extra travel in a dangerous war environment would place "unnecessary risk and undue burden on our forces."
In other developments Friday, Israel began sending back to Gaza thousands of Palestinian workers who were stranded in Israel following the Hamas attack.
Meanwhile, more foreign nationals who were trapped in Gaza since the start of the war were expected to leave the territory through the Rafah border crossing into Egypt.
Hundreds of foreigners left Gaza through Rafah on Wednesday and Thursday, as did dozens of critically injured Palestinians.
The reopening of the Rafah border crossing to allow foreign passport holders to leave was part of a Qatari-brokered deal among Israel, Egypt and Hamas.
VOA Senior State Department Correspondent Cindy Saine and VOA U.N. Correspondent Margaret Besheer contributed to this story. Some information came from The Associated Press, Reuters and Agence France-Presse.