Stuttering Gaza ceasefire talks entered a second week Monday, with mediators seeking to close the gap between Israel and Hamas, as more than 20 people were killed across the Palestinian territory.

The indirect negotiations in Qatar appear deadlocked after both sides blamed the other for blocking a deal for the release of hostages and a 60-day ceasefire after 21 months of fighting.

An official with knowledge of the talks said they were "ongoing" in Doha Monday. "Discussions are currently focused on the proposed maps for the deployment of Israeli forces within Gaza."

"Mediators are actively exploring innovative mechanisms to bridge the remaining gaps and maintain momentum in the negotiations," the source added on condition of anonymity.

Palestinian resistance movement Hamas accused Israeli Prime Minister Benjamin Netanyahu -- who wants to see the group destroyed as a fighting force -- of being the main obstacle.

"Netanyahu is skilled at sabotaging one round of negotiations after another, and is unwilling to reach any agreement," the group wrote on Telegram.

In Gaza, the civil defence agency said at least 22 people were killed Monday in the latest Israeli strikes in and around Gaza City and in Khan Younis in the south.

US President Donald Trump said he was still hopeful of securing a truce deal, telling reporters on Sunday night: "We are talking and hopefully we're going to get that straightened out over the next week."

Hamas's top negotiator, Khalil al-Hayya, and the leadership of Hamas and Islamic Jihad held a "consultative meeting" in Doha on Sunday evening to "coordinate visions and positions", a Palestinian source with knowledge of the talks told AFP.

"Egyptian, Qatari and American mediators continue their efforts that make Israel present a modified withdrawal map that would be acceptable," they added.

On Saturday, the same source said Hamas rejected Israeli proposals to keep troops in more than 40% of Gaza, as well as plans to move Palestinians into an enclave on the border with Egypt.

Israeli Foreign Minister Gideon Saar and Palestinian minister of state for foreign affairs Varsen Aghabekian Shahin headed to Brussels Monday for talks between the EU and its Mediterranean neighbours.

Netanyahu has said he would be ready to enter talks for a more lasting ceasefire once a deal for a temporary truce is agreed, but only when Hamas lays down its arms.

He is under pressure to quickly wrap up the war, with military casualties rising and with public frustration mounting at both the continued captivity of the hostages and a perceived lack of progress in the conflict.

Politically, his fragile governing coalition is holding, for now, but Netanyahu is seen as beholden to a minority of far-right ministers in prolonging an increasingly unpopular conflict.

Israel's military campaign has killed 58,386 Palestinians, mostly civilians, according to the health ministry in Hamas-run Gaza.

In a related development, the number of martyrs who lost their lives while seeking aid or during the distribution of aid has risen to 838 and 5,575 injured.