He said the demand shows "a lack of respect toward us and Qatar".
Speaking to journalists after the meeting in Cairo, Egyptian Foreign Minister Sameh Shoukry told reporters that Qatar's response was "generally negative" and failed to "lay the foundation for Qatar's reversal of the policies it pursues".
Saudi Arabia and the UAE used it to launch what the Qatari foreign minister called an unjustified blockade.
"The four states which said that Qatar must be isolated, so to speak, now say 'We want Qatar to stop terrorist financing, that they do not offer terrorist protection, that they stop intervening in the region.' All other demands are no longer addressed", Gabriel said.
In a further escalation, Bahraini Foreign Minister Sheikh Khalid bin Ahmed bin Mohammed Al Khalifa declared that any suspension of Qatar's membership in the Gulf Cooperation Council (GCC) would be decided "by the GCC alone", suggesting that Doha's expulsion from the six-member council could be imminent.
Mass rally held ahead of G20 summit in Hamburg
The highly anticipated meeting with [sic] also be the first time Trump comes face to face with the Russian leader since his election.
Qatar still has the backing of Turkey in the diplomatic crisis, however, with President Erdogan reiterating his support for Qatar, and his view that the demands, which include expelling Turkey's military from a base in Qatar, are unacceptable.
The Qatari foreign minister said earlier on Wednesday the siege of the country by Arab states is "clear aggression and insult, " and the crisis should be solved through "dialogue, no blockade".
They view Qatar's independent diplomatic stances and support for 2011 "Arab Spring" uprisings as support for terrorism and a unsafe breaking of ranks - charges Doha vigorously denies.
Observers, including diplomats and analysts based in the Gulf, said there is more latitude for economic - rather than political - pressure to be ratcheted up, with steps that dent Qatar's reputation and increase risks for global companies and banks doing business with Doha. Iran also called the Saudi-led economic blockade of Qatar unacceptable and called for diplomatic steps to defuse the crisis, while promising to provide air, sea and land support to its "brother" country.
The decision not to respond immediately with fresh measures may reflect pressure from western capitals to ease the dispute, and the effectiveness of Qatar's campaign to present itself as an innocent victim of an attempt to meddle with its foreign policy, The Guardian comments.
US President Donald Trump, while flying from Washington to Europe for meetings in Warsaw and Hamburg, telephoned Wednesday with Egyptian President Abdel Fattah al-Sisi.