Hazem al-Beblawi held talks with candidates for ministerial posts accompanied by vice president Mohamed ElBaradei and centre-left lawyer Ziad Bahaa Eldin, who is in the running for the post of deputy prime minister for economic affairs, the official MENA news agency reported. The consultations will continue tomorrow.
The new cabinet's top priorities will be to restore security, ensure the flow of goods and services and prepare for parliamentary and presidential elections, said Beblawi.
Mursi, the country's first freely elected president, was accused of concentrating power in the hands of the Muslim Brotherhood, sending the economy into freefall and failing to protect minorities.
The state prosecutor is investigating accusations filed by individuals that Mursi incited the killing of protesters and damaged the economy, judicial sources said.
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Military and judicial sources have previously said he may eventually face charges.
Mursi's supporters say his removal from power was a flagrant violation of democratic principles and refuse to join an interim government as tens of thousands have taken to the streets to demand his reinstatement.
Protesters will also march on Monday to the Cairo headquarters of the elite Republican Guard, scene of deadly clashes last week, the spokesman told AFP, insisting it would be "peaceful.