Israeli forces withdrew from border villages in southern Lebanon on Tuesday, under a deadline spelled out in a U.S.-brokered ceasefire agreement that ended the latest Israel-Hezbollah war.

The Israeli troops, however, have remained in five strategic overlook points inside Lebanon — a sore point with Lebanese officials and the militant Hezbollah group, who have maintained that Israel is required to make a full withdrawal by Tuesday.

Hezbollah on Monday condemned the vandalization of a statue honoring President Joseph Aoun in the Jarmak-Aishiyeh area in the Jezzine region, calling it a “suspicious attack” and “seditious act.”

Lebanese authorities said on Monday they had extended the suspension of inbound and outbound flights to Iran indefinitely, after originally barring Iranian planes from landing in Beirut until February 18.

Authorities have decided to "mandate the Minister of Public Works and Transport to extend the suspension period of flights to and from Iran," Lebanese presidency spokeswoman Najat Sharafeddine told reporters, without specifying when flights would resume.

The Israeli army said its forces will remain at five "strategic points" inside Lebanon beyond Tuesday, when the deadline for troop withdrawal from south Lebanon under a fragile ceasefire expires.

"Based on the current situation, we will leave small amounts of troops deployed temporarily in five strategic points along the border in Lebanon so we can continue to defend our residents and to make sure there's no immediate threat," Israeli military spokesman Nadav Shoshani told journalists on Monday.

The Israeli army will stay in five points inside Lebanon, reportedly strategic hills near the border, after its withdrawal from southern towns in line with the February 18 deadline, an Israeli political official told the Israel Hayom daily.

An Israeli official meanwhile told The Times of Israel on condition of anonymity that Israel is planning on withdrawing from Lebanon on Tuesday.

Speaker Nabih Berri has said that the latest crisis over Iranian flights should be addressed “responsibly, wisely and away from the media and furor.”

Druze leader Walid Jumblat has noted that “the previous equation in Lebanon has changed due to the political and military circumstances,” adding that “it has been agreed on the need to implement U.N. resolutions.”

U.S. President Donald Trump has decided to suspend U.S. aid to Lebanon and wants to see “achievements” first, Al-Arabiya TV quoted a U.S. State Department official as saying.

President Joseph Aoun stressed Monday that “the army is responsible for protecting the border and it enjoys readiness.”

Iran said on Monday that it will take part in this weekend's funeral of Sayyed Hassan Nasrallah, the slain leader of Lebanon's Tehran-backed Hezbollah movement, with a senior delegation.

"We will participate in this ceremony at a high level," Iranian foreign ministry spokesman Esmaeil Baqaei told reporters, without specifying who would attend Sunday's ceremony in Beirut.