Tillerson is due to discuss the crisis later with Kuwait's Foreign Minister Sheikh Sabah Khaled Al Sabah.
The published documents show that Gulf states, including Qatar, struck a series of agreements in 2013 and 2014, vowing not to support opposition forces on each other's territory, as well as not to support "antagonistic media" that would trumpet opposition groups in the region, including Egypt and Bahrain.
The statement was issued following a telephonic conversation between Shoukry and European Union foreign policy chief Federica Mogherini.
Qatar Petroleum and French energy giant Total will formally launch a 25-year joint venture to develop the Al Shaheen oil field this week, the companies said on Monday. Qatar has denied the allegations.
US Secretary of State Rex Tillerson is now on a four day visit to Kuwait, Qatar, and Saudi Arabia in an effort to find a breakthrough in the ongoing Qatar diplomatic crises, the four day visit is to end on Friday. Qatar Central Bank Governor HE Sheikh Abdullah bin Saud al-Thani also told United States media at the weekend that Qatar has $340bn in reserves to weather the crisis. In response, Qatar accused Saudi Arabia and the UAE of breaking the spirit of the Riyadh agreement and engaging in an "unwarranted and unprecedented attack on Qatar's sovereignty".
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Qatar has rejected the charges and said the four countries are trying to impose their own views on its foreign policies.
He then took a swipe at the Persian Gulf Cooperation Council members for accusing Qatar of supporting terrorism simply because of its strong relationship with Tehran.
The blockade disrupted imports of food and other materials into Qatar and caused many foreign banks to scale back their business with the country.
Secretary of State Rex Tillerson will travel to at least three Middle Eastern countries this week in an attempt to ease the diplomatic spat among key US allies in the strategically vital Persian Gulf region.
They also thanked Kuwaiti Emir Sabah al-Ahmad al-Jaber al-Sabah for acting as mediator and blasted Qatar for "disregarding" him in an attempt to "return the crisis to the starting point".