Passos Coelho said he and his coalition partners must now rebuild the confidence lost following infighting over how to deal with austerity and deep economic misery.
"We have a new reality and we must live in accordance with what we have and not with what we would like to have," he said.
Analysts expressed doubts that his government will survive for long.
"While imminent elections are now doubtful, this government is unlikely to last until 2015," when the next general elections are due, said Rahman Mujtaba, of the Eurasia Group political risk consultancy.
The two main parties that make up the coalition have been at odds over austerity and will have a difficult time implementing painful economic policies that are expected to make life even more difficult for Portugal's citizens. A proposal outlining reforms that must be implemented over the next two years will probably be submitted to Parliament sometime after the summer, Mujtaba said.
"Both parties are expected to stagger on trying to implement the bailout agreement as the Portuguese president decides on what steps to take next," said Michael Hewson, an analyst for London-based CMC Markets UK. "This failure to adopt consensus is becoming all too familiar in the politics of southern Europe."
The coalition also has to agree on a budget for 2014 in the fall and local elections will take place on Sept. 29, representing the first electoral test for the coalition.
Hewson said investors remain concerned that Portugal may not be able issue new debt next year. The country could be forced to seek another bailout if it is unable to comply with a plan for it to exit its current rescue program in 2014.
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Clendenning reported from Madrid.