JERUSALEM — Israel and Hamas agreed at the last minute Thursday to extend their cease-fire in Gaza by another day. Yet any further renewal of the deal that has seen dozens of hostages and prisoners released could prove more challenging since Hamas is expected to demand greater concessions for many of the remaining captives.

As word of the extension came, gunmen opened fire on people waiting for buses along a main highway entering Jerusalem, killing at least three people and wounding several others, according to police.

The two attackers, brothers from a Palestinian Arab neighborhood at eastern Jerusalem, were killed. Hamas said they were members of its armed wing and celebrated the assault, but called it “a natural response” to Israel’s actions in Gaza and elsewhere. It was unclear if the attack had been ordered by Hamas’ leaders or if it would have an impact on the truce.

International pressure has mounted for the cease-fire to continue as long as possible after nearly eight weeks of Israeli bombardment and a ground campaign in Gaza.

Secretary Blinken, who is on his third visit to the region since the start of the war, said “my heart goes out” to the victims of the Jerusalem attack. Mr. Blinken is expected to press for further extensions of the truce and the release of more hostages.

“This process is producing results. It’s important, and we hope that it can continue,” he said.

The talks appear to be growing tougher, however, with Hamas having already freed most of the women and children kidnapped during the deadly October 7 attack on Israel that triggered the war. The militants are expected to make greater demands in return for freeing men and soldiers.

Qatar, which has played a key role in mediating with Hamas, announced that the truce was being extended Thursday. In the past, Hamas has released at least 10 Israeli hostages per day in exchange for Israel’s release of at least 30 Palestinian prisoners.

The announcement followed a last-minute standoff, with Hamas saying Israel had rejected a proposed list that included seven living captives and the remains of three who the group said were killed in Israeli airstrikes. Israel later said Hamas submitted an improved list, but gave no details.

Israel says it will maintain the truce until Hamas stops releasing captives, at which point it will resume military operations aimed at eliminating the group. The Biden administration has told Israel that it must operate with far greater precision if it expands the ground offensive to the south, where many Palestinians have sought refuge.

Prime Minister Netanyahu is under intense pressure from families of the hostages to bring them home. Yet his rightist governing partners are also pushing him to continue the war until Hamas is destroyed, and could bolt his coalition if he is seen as making too many concessions.

The initial truce — which began Friday and has now been extended twice —called for the release of women and children. Israeli officials say Gaza militants still hold around 30 women and children, who would all be released in a few days if the swaps continue at the current rate.

It’s not clear how many of the women might be soldiers. For soldiers and the men still in captivity, Hamas is expected to push for comparable releases of Palestinian men or prominent detainees, a deal Israel may resist.

Israel says around 125 men are still held hostage, including several dozen soldiers. Thus far, Hamas has released some men — mostly Thai laborers.

An Israeli official involved in hostage negotiations said talks on a further extension for the release of civilian men and soldiers were still preliminary, and that a deal would not be considered until all the women and children are out. The official spoke on condition of anonymity because talks were ongoing.