Russia's foreign minister reportedly said Iran's presence in Syria is "legitimate."
Intelligence Minister Yisrael Katz said the test of the deal would be "not in words but in deeds."
Saudi's crown prince is roiling the region. That could lead to peace in the long term, goes one scenario. Another says it could lead to war.
Hamas had asked permission to search the tunnel's ruins for the bodies of the Islamic Jihad terrorists.
The tunnel,which ended in Israel near the border with Gaza, is believed to have been dug after the 2014 Gaza war.
Hamas has used a network of tunnels running from Gaza to southern Israel to launch attacks on Israel and to kidnap Israeli soldiers into the coastal strip.
Prime Minister Benjamin Netanyahu has taken a wait-and-see approach to last week's Palestinian reconciliation deal.
The Palestinians must recognize Israel and Hamas has to halt all terrorist activities, the Netanyahu government said.
ISIS said it was targeting Israel Air Force jets flying in the area.
The demonstration also sought equal gender representation in peace negotiations.