On Sunday, Sudan's ruling sovereign council said that Burhan would visit Washington "soon" at the invitation of Pompeo.
The Palestinians have been seeking to build unified opposition among Arab nations in opposition to the plan, with the Arab League - including Sudan - rejecting it on Saturday.
The PLO official called the meeting a "stab in the back of the Palestinian people and a flagrant walkout on the Arab peace initiative at a time when the administration of [US] President Donald Trump and Israeli Prime Minister Netanyahu are trying to liquidate the Palestinian cause".
Information Minister Faisal Saleh said the government hadn't been notified or consulted and would seek clarification.
Netanyahu has long sought to expand Israel's economic and security relations with African nations, and this will be his fourth visit in four years to the continent.
The document stipulated that Arab countries, including Egypt, Jordan and Sudan, would jointly oppose Israel, stating: "No peace with Israel, no recognition of Israel, no negotiations with it". "This will be very welcome in the West". Others applauded, arguing it was good for Sudan's future.
Historically, Sudan has maintained aggressive policies against the state of Israel since its inception.
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The Sudanese Communist Party, which is part of the pro-democracy movement, also denounced the meeting, as "treason" against the Palestinians.
Muslim cleric and head of the Current of Sharia Supporters bloc Abdel Hay Youssef told local media the meeting was "treason" to Islam.
"Israel is secretly working to tear down Sudan", said Al-Tayeb Al-Abbas, a leader in the Forces of Freedom and Change who heads the Sudan Bar Association.
Sudan is desperate to lift sanctions linked to its listing by the U.S.as a state sponsor of terror.
Erekat expressed his dismay over Netanyahu's two-hour meeting with Sudan's leader and their decision to move toward normalization.
Yet in September 1967, Sudan would host Arab states in the wake of the Six-Day War that would lead to the Khartoum Resolutions otherwise known as "the three nos" calling for the boycott of Israel by all Arab countries.
During the 30 years of Bashir's reign, relations were more hostile, as the Sudanese government was accused of helping and hosting Palestinian resistance members, as well as assisting in the transfer of weapons to Hamas fighters in the Gaza Strip. In 1984-1985, Israeli intelligence operatives began secretly airlifting Ethiopian Jews to Israel from Sudanese refugee camps.