The Iranian-aligned Hezbollah movement has aided militias in Iraq since the 2000s
The humanitarian crises in Gaza and the West Bank were also focal points of his speech.
Israel’s goal is to return some 60,000 people displaced from their homes in the north due to the near-daily attacks by Iran-backed Hezbollah.
Three deaths were confirmed in Lebanon but none in Israel.
The Israeli army said on Monday that it had attacked more than 300 targets linked to the Hezbollah militia in Lebanon.
The Israeli military confirmed on Thursday that it had approved “plans for the continuation of the war” in Lebanon against Hezbollah.
Israeli authorities have yet to issue any statement to affirm or deny behind the explosions.
“I think we cannot underscore enough the risks of escalation in Lebanon and the region,” Mr Dujarric added.
There have been daily military confrontations between the Israeli army and the Hezbollah militia in Lebanon and other groups in the border area between the countries.
Hezbollah on Monday claimed several attacks on Israeli troops and military positions in northern Israel, including a drone strike on a base and an attack on Israeli soldiers.
