The Saudi incursion in Yemen was supposed to be quick, restore some semblance of order on Saudi's southern border and deal a setback to Iran.
Others under scrutiny were being phoned by investigators about their finances but appeared to remain at liberty, one of the sources said.
"Our path in the region is to establish and promote stability; we want the geographic borders not to change, nations to decide for themselves, and bombardments and aggression against regional nations to be stopped", he said.
"The United States and their allies have mobilised all their capabilities against us and achieved nothing".
The coalition said it aimed to fill gaps in inspection procedures that enable "smuggling of missiles and military equipment" to the rebels. But Trump instead criticized Qatar for alleged financing of extremist groups and praised the Saudis for making attempts to halt extremist financing.
The Lebanese military "has done an excellent job" combatting Islamic State militants and other terrorists, U.S. Ambassador Elizabeth Richard said during a meeting with Lebanese officials Wednesday.
Earlier, several leaders and top officials arrived in Saudi Arabia to offer their condolences including: King Hamad bin Isa Al Khalifa of the Kingdom of Bahrain, Deputy Minister of the Kuwaiti Emiri Diwan Affairs Sheikh Ali Jarrah al-Sabah, UAE's Minister of Interior Saif bin Zayed Al Nahyan, and UAE's Minister of Foreign Affairs and International Cooperation Abdullah bin Zayed Al Nahyan.
Saudi-led forces, which back the internationally-recognized government, have been targeting the Houthis in a war which has killed more than 10,000 people and triggered a humanitarian disaster in one of the region's poorest countries.
Prince Mohammed bin Salman of Saudi Arabia blamed Iran Tuesday for the intercepted ballistic missile launched by Houthis in Yemen.
"Saudi Arabia's announcement confirms once again the Iranian regime's complete disregard for its international obligations. What are the Yemeni people supposed to do?" he asked.
"This is a strategic miscalculation", ISNA cited the President as saying.
On North Korea, too, Tillerson has played a more diplomatic line, saying that talks would always be possible between Pyongyang and Washington, whereas Trump has said negotiations with Kim Jong Un would be pointless.
Also Wednesday, the conservative Iranian daily Kayhan was given a two-day suspension for Monday's front-page headline "Ansar Allah (Yemen's Huthi rebels) fire missile at Riyadh: the next target will be Dubai".
U.N. spokesman Stephane Dujarric called on the coalition and the rebels to allow aid in, warning that "any further shocks to imports of food and fuel may reverse recent success in mitigating the threat of famine".