But Mr Mofaz may find it hard to draw Mr Olmert's supporters keenly into his camp.
Due to the emphasis that Olmert places on both issues, they deserve specific investigation.
What is more, Mr Olmert's political rivals are keeping their knives sheathed for now.
Livni and Mofaz are vying to succeed Ehud Olmert as Israel's next prime minister.
But then again, Olmert made his offer after conducting negotiations with Abbas for over a year.
Mr Olmert is formally still in charge until a new government is formed after the election.
Olmert also said that Israel will not release Palestinian prisoners in exchange for the soldier's freedom.
Olmert was not a suspect in the case but was questioned about Zaken's role.
CNN: Police raid Israeli ministerial building in Olmert inquiry
He muffed a half-chance for a deal with Mr Netanyahu's predecessor, Ehud Olmert, three years ago.
Israeli Prime Minister Ehud Olmert is in town this week on a sales campaign.
Mr Bush may listen sympathetically, but is unlikely to apply strong public pressure to Mr Olmert.
At the same dinner, Secretary Rice praised Olmert for willingness to tackle the difficult issues.
So it is possible that Olmert and Livni are supporting the Saudis because they are obtuse.
Prime Minister Ehud Olmert said Sunday that Israeli forces will continue to operate in Gaza.
Mr Sharon's deputy prime minister and close ally, Ehud Olmert, has begun to acknowledge such fears.
Mr Olmert is considering making a political comeback ahead of a general election on 22 January.
Much will depend on how Mr Olmert rides out the turbulence in the weeks ahead.
Next, the U.N. chief went to Jerusalem for talks with Israeli Prime Minister Ehud Olmert.
Ehud Olmert faces a very serious problem of his own, the prime minister of Israel.
Mr Olmert will stay on as caretaker prime minister until a new government is formed.
Instead of asking what was required for victory, like Olmert before him, Obama asked two questions.
The Olmert government announced last week that tensions along Israel's border with Syria have decreased markedly.
For its part, the Olmert-Livni-Barak government has responded to Kosovo's declaration of independence with customary confusion.
And yet, contending with Iran was nowhere near the top of our diplomatic agenda under Olmert.
The Syrians, for their part, cornered Olmert on Thursday by agreeing to his offer.
Adelson opposed both Olmert and the peace conference, which was held in Annapolis in late November.
Olmert made this point explicitly in a series of media interviews in recent months.
CENTERFORSECURITYPOLICY: Ending Israel's conditional legitimacy
By joining the government when he did, Lieberman single-handedly kept the Olmert government in power.
To understand the connection we need to recall the nature of Olmert's offer to Abbas.
But Olmert - and Livni - wouldn't even consider retaking control of South Lebanon.
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