Some members of the coalition, including Britain, Australia, France and a handful of regional powers, have helped launch airstrikes in Iraq and Syria, while others have cracked down on the flow of funds and foreign fighters to IS.
The 14 groups, which include human Rights Watch and the International Commission of Jurists, said el-Sissi's government has "suppressed freedoms, arrested potential candidates and rounded up their supporters".
"We agreed we would continue our close cooperation on counterterrorism measures", Tillerson said.
Tillerson's comments come amid heightened tensions between the United States and Turkey, which has launched a military campaign against USA -backed Kurdish fighters in northern Syria in recent weeks.
Speaking in Kuwait, as part of his five-nation tour of the Middle East, Washington's top diplomat said that despite recent military victories the coalition fighting the militant group must make sure ISIL does not spread from its bases in Syria and Iraq. "ISIS's claim of having a functioning caliphate that governs populations is all but thwarted", the report says.
Tillerson said Iran should withdraw its forces and militias from Syria, where Tehran backs President Bashar al-Assad.
He said IS had the capacity to re-emerge in liberated territories of Iraq and Syria or elsewhere.
"They know what has to be on the table for conversations", Mr. Tillerson said. While the U.S. is expected to announce a $3bn package through the Export-Import Bank, pledges so far have fallen well short of the almost $100bn Iraq says it needs.
Abdullah, the first Arab leader to meet with Trump after his election, flew into Washington DC weeks after the president's inauguration to reportedly warn Trump against relocating the United States embassy to Jerusalem.
Iraqi Prime Minister Haider al-Abadi prepares for a donor's summit at Bayan Palace in Kuwait City, Kuwait, Wednesday, Feb. 14, 2018.
French Foreign Minister Jean-Yves Le Drian reiterated France's congratulations on the progress made in the fight against ISIS and paid tribute to the courage and determination of the Iraqi forces. Some 2,300 representatives from the private sector, including from more than 100 American companies, are slated to attend.