But his ideas seemed to run counter to a suggestion by the prime minister to dissolve the organisation, the target of a crackdown by the army-backed government last week.
The authorities declared a state of emergency and killed hundreds of people in raids on Wednesday on two protest camps set up in Cairo to demand Morsi's reinstatement.
More than 700 people have died, most of them backers of Morsi, in four days of violence. That has earned Egypt stiff condemnation from Western nations, uncomfortable with the organisation’s rule but also with the overthrow of a freely elected government.
The capital's frenetic streets, unusually empty in the past few days, were returning to normal on Sunday, although the army kept several big squares closed and enforced a curfew overnight.
Banks and the stock market reopened for the first time since Wednesday's carnage, and shares plunged 2.5 percent.
"As long as we have bloodshed on the streets, it takes away any reason for foreign and regional investors to buy in Egypt," said Amer Khan, director at Shuaa Asset Management in Dubai.
The initiative by Deputy Prime Minister Ziad Bahaa el-Din, a liberal, calls for an immediate end to the state of emergency, political participation for all parties and guarantees of human rights, including the right to free assembly.
The Brotherhood has said it will keep up mass protests until Morsi, toppled by the army on July 3 after huge demonstrations against him, was freed from jail and returned to office.
Polarised Republic
It was not clear how much support Bahaa el-Din's proposal could gain among the new leaders of a deeply polarised Arab republic experiencing the worst bout of bloodshed and internecine conflict in its six-decade history.
Blaming a defiant Brotherhood for the bloodletting, Prime Minister Hazem el-Beblawi has proposed banning the 85-year-old movement and effectively forcing it underground.
"There will be no reconciliation with those whose hands have been stained with blood and who turned weapons against the state and its institutions," Beblawi told reporters on Saturday.
Bahaa el-Din stayed in office even after a leading fellow-liberal, Deputy President Mohamed ElBaradei, resigned over the violent break-up of the protest camps in Cairo.
His proposal does not address Morsi's fate or specifically call for an amnesty for detained leaders of the Brotherhood.
The group, which won five successive votes held in Egypt after President Hosni Mubarak fell in 2011, now faces the prospect of political elimination by army-backed rulers who say the most populous Arab nation is at war with "terrorism".
During Morsi's year in power, accusations of incompetence and attempts to monopolise government tarnished the reputation the Brotherhood had acquired for social work and upholding Islamic principles in 30 years of opposition to Mubarak.
Brotherhood leaders accuse the military of deliberately sabotaging their time in office and plotting their demise.
Aid Review
European Council President Herman Van Rompuy and European Commission President Jose Manuel Barroso urged all sides to show restraint and prevent further violence, saying the EU would urgently review its relations with Egypt and act accordingly.
The crackdown has, however, drawn messages of support from wealthy Arab allies such as Saudi Arabia, which have long feared the spread of Brotherhood ideology to the Gulf monarchies.
The United States has delayed delivery of four F-16 fighters to Egypt and cancelled a joint military exercise to rebuke the army for its actions, but it has not halted the $1.55 billion in mostly military aid that it gives Cairo every year.
Interim Foreign Minister Nabil Fahmy sought to pre-empt any attempt by the West to pressure Egypt by cutting financial aid by announcing he would scrutinise all foreign assistance.
"By reviewing aid I want to determine what is useful and what is not and what aid is being used to pressure Egypt and whether this aid has good intentions and credibility. We will proceed based on our findings," he told reporters on Sunday.
"We are not looking to replace one friend with another but we will look out to the world and continue to establish relations with other countries so we have options," he said.
"The relation between Egypt and the US has been there for a long time. It has been through ups and downs in the past. We hope things will go back to normal promptly," Fahmy said.
The Foreign Ministry, as part of a push to disseminate the state's narrative of events, also distributed a pack of photos showing what it said were Muslim Brotherhood members carrying clubs and firearms - and in one picture a black al Qaeda flag.
The Brotherhood denies links to the global militant network.
On Saturday, Morsi supporters exchanged fire with security forces in a central Cairo mosque where scores of protesters had sought refuge from confrontations with police the day before.
Police cleared the building and made arrests, with onlookers cheering them on and harassing foreign reporters at the scene.
"We as Egyptians feel deep bitterness towards coverage of the events in Egypt," presidential political adviser Mostafa Hegazy said, accusing Western media of ignoring attacks on police and the destruction of churches blamed on militants.
At least 173 people were killed on Friday during a "Day of Rage" called by the Brotherhood two days after police destroyed its protest camps. Police have since arrested more than 1,000 Brotherhood "elements". The state news agency said 250 faced possible charges of murder, attempted murder or terrorism.
The Brotherhood has called for daily street protests this week, but there were no reports of trouble on Sunday morning.
COMMENTS (16)
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@Sonya:
McCain is Obama's opponent and would have criticized Obama regardless of what he did - not much different than your anti American stand. Both Obama and McCain both fully realize that those who hate America are not going to change their minds based on how the USA handles the Egyptian crisis. T
@Gingo I agreed Saudis are scared of true democracy.
Umer - what makes you call the Muslim Brotherhood thugs? Kindly elaborate a bit further. Like it or not - the people of Egypt voted for MB - full stop. Get over with the 'pseudo-liberal-we-are-right-all-the time' mentality
Why are Mumtaz Qadri supporters complaining about military action against MB thugs?
@Muhammed Usama Aziz: On the contrary it is the brother Islamic country Saudi Arabia that is supporting the army coup and crack down on protesters.
Shamefull acts of Champions of Democracy one can write whole book on this topic. no one even calls Terrorism what arm forces doing with Egyption.
@ Umer.. What is you suggestion? Dont sympathize with the protesters and support people keep killing them? Do you have any humanity left in you?
@unbelievable: Pakistani’s don't love to blame the West irrationally. Read what McCain has just said on CNN broadcast. "For us to sit by and watch this happen is a violation of everything we stood for," We are much more hated and much less respected in the Middle East,
@Umer U look like so called Dictator arm forces and libral terrorist sympathizer shame on u because u cant see the blood of poor innocent peoples. they have tried in the past but I don't think they gonna succeeded this time...
Thieves and murderers are to decide the fate of Egyptian people. Why not? People refuse to do what is most important for them to do to avoid thieves and murderers ruling over them. The people need to join hands with each other to come to unite. Unite to run their common business through co-operation and consultation of all. Why and how is it so difficult for the people, all the people, when their needs are very very common? Why do the people want to leave their business for others to manage. When people make such fatal mistakes they leave the door open for thieves and murderers to take people hostage. The Egyptian people today in common with many many nations of the world are paying the price for their neglect. The neglect to come together and join hands with each other to unite. Unite to make their world a better place to live. The people throughout the world will suffer slavery at the hands of thieves and murderers only because they refuse to come together to unite. Unite to run their common business themselves.
@Sonya:
Oh boy, another extremists sympathiser.
@unbelievable: really? On one hand they are supporting the military takeover and on the other hand doing this. They need to stop their double standards!!
@Sonya: "EU and USA has done nothing practical so far to curb the use of power against civilians in Egypt" Sonya Bibi Ji, ! instead asking UMMA, you involving USA -EU in problems of UMMA? and you are the one who comment about USA interfering in Umma affairs.
@Sonya:
What exactly do you want them to do? They have officially protested against the violence, encouraged new elections, cut off delivery of fighter plans, cancelled scheduled military operations, called for UN security council meeting, and are considering cutting off all economic and military aid. Pakistani's love to blame the West but the reality is that the only people who can control the destiny of Egypt are the Egyptians. BTW - what practical things have Pakistan done to curb the use of power against civilians in Egypt?
EU and USA has done nothing practical so far to curb the use of power against civilians in Egypt. On the other hand Saudi Arabia is practically and silently supporting with money to General Sisi who was once a Military Attache in Riyadh. Praying for poor Morsi and his supporters !!!
Discuss something else, like situation in Pakistan. Pakistani Cabinet has already discussed your situation..