Oman on Wednesday said it regretted the "unacceptable" attacks on Saudi missions in Iran but did not announce any measures against the Islamic republic, after some Gulf nations downgraded diplomatic ties.

The Omani reaction comes four days after protesters torched Riyadh's embassy and its consulate in Iran over Saudi Arabia's execution of Sheikh Nimr al-Nimr, a prominent Shiite cleric accused of fomenting sedition in the Sunni-ruled kingdom.

Iran warned Saudi Arabia to stop working against it on Wednesday as their diplomatic crisis intensified despite efforts to defuse a row that has raised fears of regional instability.

In the latest salvo in a dispute that has seen Saudi Arabia and some of its Sunni Arab allies cut ties with Tehran, Foreign Minister Mohammad Javad Zarif said Riyadh must end its prolonged efforts to confront Iran.

Saudi Arabia cannot respond to criticism of its regime by cutting off heads, Iranian President Hassan Rouhani said Tuesday following Riyadh's execution of a prominent Shiite cleric.

"One does not respond to criticism by cutting off heads," Rouhani said as he welcomed visiting Danish Foreign Minister Kristian Jensen.

The diplomatic crisis surrounding Saudi Arabia and Iran widened on Tuesday as Kuwait recalled its ambassador to Tehran in the face of growing international concern.

Joining Riyadh and its Sunni Arab allies in taking diplomatic action, Kuwait said it was withdrawing its envoy over a weekend attack on the Saudi embassy in Tehran.

The U.N. Security Council on Monday strongly condemned an attack on the Saudi embassy in Tehran by protesters angered by Riyadh's execution of a prominent Shiite cleric.

The statement by the 15-member council, which called on Iran to protect diplomatic personnel and property, made no mention of the execution of Sheikh Nimr al-Nimr.

Saudi Arabia's decision to break off relations with Iran should have no impact on peace efforts in Syria and Yemen, Riyadh's envoy to the United Nations said Monday.

"From our side, it should have no effect because we will continue to work very hard to support the peace efforts in Syria and Yemen," Saudi Ambassador Abdallah al-Mouallimi told reporters.

Turkey on Monday urged Iran and Saudi Arabia to calm tensions in their diplomatic crisis, saying the hostility between the two key Muslim powers would only further escalate problems in an explosive region.

"We want both countries to immediately move away from the situation of tension that will obviously only add to the already severe tensions existing in the Middle East," Deputy Prime Minister Numan Kurtulmus said in Ankara's first reaction to the crisis.

Solutions to local problems will be delayed in wake of the dispute between Saudi Arabia and Iran, warned al-Joumhouria newspaper on Tuesday.

A prominent March 8 camp source told the daily however that “the national dialogue will continue despite everything.”

Despite the tensions that have erupted between Saudi Arabia, Iran, and other Arab countries, there are no fears that this dispute will spill over into Lebanon, reported al-Joumhouria newspaper on Tuesday.

A security source told the daily that there are no concerns that the Iranian embassy or the embassy of any other Arab country would be targeted in wake of the tensions between Riyadh and Tehran.

The fate of the dialogue between the Mustaqbal Movement and Hizbullah has become in limbo following the flaring tensions between Saudi Arabia and Iran, reported various media on Tuesday.

Al-Joumhouria said that the fate of the talks will be determined within the next 24 hours even though a session had already been set for January 11.