Flying in from Beirut, Jung went straight into talks with Peretz at the defence ministry in Israel's commercial capital Tel Aviv.
Israeli officials said that the talks would focus on the situation in Lebanon since the August 14 cease-fire between Israeli forces and Hizbullah, as well as Iran's nuclear programme.
In Beirut, Jung said he expected no more shooting incidents between the Israeli army and German forces backing up a UN peacekeeping mission in Lebanon.
"I assure you that no more incidents of this kind are going to happen," he said following talks with Prime Minister Fuad Siniora on Friday.
Berlin said last week that Israeli warplanes fired shots over a helicopter and an unarmed German vessel off the Lebanese coast.
The confrontations came just days after Germany assumed command of the marine component of the UN Interim Force in Lebanon (UNIFIL) on October 18, in its first military foray into the Middle East since World War II.

Copyright AFP (Agence France-Presse), 2006