Qatar has rejected the demands, saying they undermine its sovereignty. Moreover, in the recent trip, the USA concluded a deal on fighting terrorism with Doha in what is believed to be a move to please Saudi Arabia and its allies.
Qatar Airways boss Akbar Al-Baker accused neighbouring Gulf states of "bullying" his country but said it could ride out the crisis.
But these problems are small compared to the 800 lb gorrilla in the room; Qatar is a well known financier of extremist Islamist groups.
He is scheduled to visit Saudi Arabia later on Saturday and will visit Kuwait and the United Arab Emirates on Sunday.
"There are basic principles that must be committed by all countries, including Qatar", he said.
Gargash, who regularly comments on the Qatar crisis to his 437,000 followers on Twitter, said the Arab bloc, including the UAE, Saudi Arabia, Egypt and Bahrain, and Qatar were "heading into the long estrangement", Xinhua news agency reported. Staunchly defending its innocence against the allegations from the onset of the crisis, Qatar claimed the demands were deliberately created to be impossible for it to meet and rejected them, causing the current stalemate in negotiations.
"Right now, after Egypt, we're months away from what we think would be an actual resolution and that's very discouraging", RC Hammond told reporters. "In light of that, nothing will change and we must look to a different mode in relations", he added.
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Gargash hailed Qatar's decision last week to sign a memorandum of understanding on terrorist financing with the U.S. as "a positive development" by the foreign minister.
France is seeking an end to the isolation of Qatar that has separated families across the region amid a spat between a Saudi-led group of nations and their gas-rich neighbour.
He also stressed that Qatar must implement relevant anti-terrorism agreements.
Saudi Arabia, the UAE and Qatar are among the world's biggest military spenders, purchasing billions of dollars in equipment from the US and Europe to beef up their militaries. What is interesting is that the U.S. secretary of state, during his trip to Doha, described Qatar's stance as "logical". All three are considered allies of many Western nations.
Egyptian Foreign Minister Sameh Shoukry said Qatar's response to the bloc's conditions had "no substance" and "reflects a lack of understanding of the gravity of the situation".
Le Drian also said France counted on "reinforcing cooperation with Qatar in the fight against terrorism, particularly in combating terrorism financing".