Turkish President Recep Tayyip Erdogan told Bahrain's foreign minister that an ongoing dispute between Qatar and other Arab Gulf states must be resolved by the end of Ramadan, Islam's holy month of fasting, said Turkey's foreign minister on Saturday.
After Mr Trump's remarks, the Pentagon reiterated its position that Qatar was a key USA military partner, saying "the evolving situation is hindering our ability to plan for longer-term military operations".
But the states did not respond to Secretary of State Rex Tillerson's warning of humanitarian consequences.
Human rights group Amnesty International has condemned the blockade taken by Saudi Arabia, the UAE and Bahrain against Qatar, saying the countries are toying with the lives of thousands of Gulf residents as part of their dispute with Qatar. Saudi Arabia's state-run news agency carried an official statement welcoming Trump's remarks, adding that cutting off terrorism funding "required decisive and swift action. regardless of its financier".
Mr Trump said he wanted Qatar "back among the unity of nations".
US President Donald Trump has accused Qatar's leadership of bankrolling extremists and demanded a halt to that funding, drawing praise from Saudi Arabia and its allies.
On Saturday, Saudi Arabia, Bahrain and the UAE made no mention of Mr Tillerson's call.
Monday's dramatic move came after years of tension between Qatar and its Gulf neighbours, in particular Saudi Arabia.
The State Department had said the USA learned only at the last minute about the Arab nations' plan to cut ties. A statement from Egypt's presidency said President Abdel-Fattah el-Sissi and Trump spoke by phone on Friday and that el-Sissi thanked him for his role in "the formation of a united front to combat terrorism".
Russia's top diplomat Sergey Lavrov and Qatari Foreign Minister Sheikh Mohammed bin Abdulrahman Al Thani met in Moscow Saturday.
"We do not interfere in the internal affairs of other countries or their bilateral relations. But it does not give us joy when relations between our partners deteriorate", Mr Lavrov said. The list included the International Union of Muslim Scholars' Egyptian chairman, Yousef al-Qaradawi, and Abdullah bin Khalid, a former interior minister of Qatar.
With Doha under pressure to cut ties with Islamist groups and Hamas fearing a possible loss of its main source of global support, a senior Hamas official said Saturday that a delegation headed by the group's leader Haniyeh would visit Iran in the near future.