German Foreign Minister Sigmar Gabriel, on a tour of Gulf countries, said he was cautiously optimistic that the feuding countries would reach a solution once they met for talks.
Qatar rejected the demands which include stopping support to groups like Muslim Brotherhood, closing Turkish military base in Qatar, and closing news organizations that include internationally acclaimed Al Jazeera.
Speaking in London, the Qatari foreign minister criticized certain regional media outlets for openly calling for "regime change" in Qatar.
Qatar Petroleum has also said it "mobilised all available resources" to mitigate any actions that could disrupt supplies.
Shukri said Qatar's policies could not be allowed to continue and vowed that Egyptian blood would not be shed in vain, a reference to deadly attacks by militants on Egyptian army and security forces.
Qatar was given 10 days to respond or face unspecified consequences, but as of yet, they have not responded and may not be taking the demands seriously.
On Wednesday, Qatar's foreign minister, Sheikh Mohammed bin Abdulrahman Al Thani, told a Chatham House event that Saudi Arabia and its allies see Qatar as "punching above its weight" and want to silence an alternative voice.
The 13 demands were issued on June 22 and if Doha agreed to them, the four countries would restore diplomatic relations with Qatar. Despite its small territory, Qatar possess a solid military, one of the strongest in the region, and also has powerful allies - Turkey and Iran which promised air and sea support in case of isolation.
Fireworks cause vehicle fire at Dunwoody home
Hersheypark apologized for the cancellation, and the town thanked its fire department for containing the fire so quickly. A fire that damaged a home in Scarborough started with fireworks, according to fire officials.
Last month, Saudi Arabia, the United Arab Emirates, Bahrain and Egypt cut diplomatic ties and transport links with Qatar.
Qatar expects harsh measures by the Arab nations if they are not satisfied by its response to a list of demands made almost two weeks ago. The next meeting will take place in Bahrain.
The demands to Qatar including shutting down the Al Jazeera broadcaster and scaling down ties with Iran. Credit ratings agency Moody's announced it was changing Qatar's outlook to negative over the crisis.
The deadline was subsequently extended by 48 hours on 3 July after Qatar sent its formal response to Kuwaiti mediators.
"Reading between the lines, the blockading countries [are] demanding that we have to surrender our sovereignty to end the siege, something which..."
US President Donald Trump spoke with the Egyptian President, Abdel Fatah al-Sisi, on Wednesday, "urging all parties to negotiate constructively to resolve the dispute".
"To defeat terrorism, we must confront extremism, we must confront hate speech, we must confront the harboring and sheltering of extremists and terrorists, and funding them", he said.
The think tank has called for a public inquiry into the role of Saudi Arabia and other Gulf nations.