Egypt will increase the volume of fuel sent daily to the Gaza Strip from 129,000 to 189,000 litres, as agreed with the Israeli side.
Turkish President Recep Tayyip Erdoğan has warned Israeli authorities not to pursue Hamas members on Turkish territory.
Mediation efforts to revive the truce and facilitate the exchange of hostages and prisoners between Israel and Gaza are still ongoing, said Qatar.
Qatar said on Friday that negotiations are still ongoing after a seven-day ceasefire between Israel and Hamas in Gaza expired.
Gaza’s Hamas rulers published a list of 15 women and 15 teenagers to be released from Israeli jails in return.
Mr Kirby said they want to see all the hostages out.
With the release of 14 Israelis and three Thai citizens on Sunday, a total of 58 hostages have now been released by the extremist organisation Hamas since Friday.
On Friday, Hamas freed 13 Israeli hostages alongside 10 Thai nationals and one Filipino as part of the agreement between both sides.
Seven fuel trucks, including four loaded with cooking gas, passed through the crossing on Saturday, an Egyptian official said.
All the freed hostages have been received by Israeli authorities.
