Israel opened a direct crossing for aid into Gaza for the first time in its more than two-month-old offensive on Hamas on Sunday but also stepped up attacks on the Palestinian enclave, saying military pressure was the only way its hostages would be freed, Reuters reports.

The Israeli assaults took place amid fierce fighting the length of the coastal strip, according to residents and militants, with communications down for a fourth day, making it hard to reach the wounded.

Two security sources from Egypt — another mediator — said on Sunday Israel and Hamas were both open to a renewed ceasefire and hostage release, though disagreements remained on how it would be implemented.

“We are open to any efforts aimed at ending the Israeli aggression. This is the ground for any discussion,” Hamas official Sami Abu Zuhri said when asked for comment on the Egyptian statement.

In a further positive sign, the Kerem Shalom crossing between Israel and Gaza opened for aid trucks on Sunday for the first time since the outbreak of war, officials said, in a move to double the amount of food and medicine reaching Gazans.