Israel will maintain close tabs on its border with Syria and only let people to cross in "exceptional circumstances," Prime Minister Benjamin Netanyahu said Sunday after seven injured Syrians were let in.

"We will continue to watch over the border and prevent anyone from crossing it and entering Israel, except in a few isolated and exceptional circumstances -- each of which will be weighed on its own merit," Netanyahu told his outgoing cabinet.

The trial of Israel's former foreign minister Avigdor Lieberman on charges of fraud and breach of trust opened at a Jerusalem court on Sunday in a case which will decide the former nightclub bouncer's political future.

Wearing a dark-blue suit and white shirt, Lieberman was silent as he entered the courtroom and did not speak to waiting reporters, an Agence France Presse correspondent at Jerusalem Magistrate's Court said.

Exposure of intelligence activities can "badly damage" state security, Israel's Benjamin Netanyahu said on Sunday in his first remarks on the arrest and death of a jailed Australian-Israeli with Mossad links.

In remarks to his outgoing cabinet, the Israeli prime minister insisted that the security forces be allowed to "quietly" get on with their jobs, in his first remarks on the mysterious spy saga which has dominated headlines in Israel and Australia.

Bulgaria's foreign minister, Nikolay Mladenov, will brief on Monday his European Union counterparts on the investigation into the deadly attack on Israeli tourists last year, which Sofia blamed on Hizbullah.

But the EU foreign ministers are not likely to take any measure against Hizbullah, including listing it as a terrorist organization, over differences between them.

The Israeli army on Saturday evacuated seven Syrians wounded in clashes on the Golan Heights and took them to a hospital inside the Jewish state, where they were being treated for their injuries.

A spokeswoman for the Ziv hospital in Safed told Agence France Presse the army had on Saturday afternoon brought in seven wounded people, all of whom have been operated on.

The European Union on Saturday called on Israel to respect its human rights obligations towards Palestinian prisoners, saying it was concerned about the condition of four detainees on a long-term hunger strike.

The European Union is "following with concern" the worsening health conditions of Samer Assawi, Jaafar Ezzedine, Ayman Sharawneh and Tareq Qaadan, who are all staging long-term hunger strikes, the bloc's foreign policy chief Catherine Ashton said in a statement.

Hizbullah Chief Sayyed Hassan Nasrallah lashed out on Saturday at ex-Prime Minister Saad Hariri, accusing him of trying to strike a settlement over backing him for the premiership, expressing his support to the Orthodox Gathering electoral draft-law.

“You proposed to neutralize the arms of the resistance if we agreed to support you as a premier,” Nasrallah said in a televised speech commemorating Hizbullah’s “martyr leaders.”

Australian intelligence had detailed knowledge of the case of a Melbourne man thought to have been an Israeli spy well before he died in a Tel Aviv jail in 2010, a report said Saturday.

"Every day that goes by you see how deeply involved they were," a senior Israeli official told The Australian newspaper. "It is clear they were in the know long before he died."

Bulgaria on Friday expelled a visiting delegation from the Palestinian group Hamas, the head of the organisation that invited the lawmakers to the EU-member state told Agence France Presse.

Bulgarian security service agents "entered the hotel rooms of the three deputies early on Friday morning and drove them to the airport," said Mohd Abuasi of the Center for Middle East Studies.

The journalist who revealed the identity of a prisoner kept incommunicado in Israel described on Friday the frantic reaction of Israeli spy chiefs desperate to keep a lid on the mysterious story.

"Prisoner X", identified by media as Australian-Israeli Mossad agent Ben Zygier, died in December 2010 while in isolation at Ayalon prison near Tel Aviv, in a case Israel tried hard to cover up until it was revealed this week.