According to news agencies NA/PA, Zarif noted that Iran considers the security and stability of the neighboring countries as its own.
The diplomats also complained of their families being harassed.
"The problem is that Saudis think that it is beneficial to them if the world considers that Iran is a threat against Saudi Arabia", the foreign minister remarked.
Iran has created quite the stir in the Indian diplomatic circles with its foreign minister Javad Zarif on Tuesday offering Pakistan and China participation in its strategic Chabahar port, which India is developing.
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Others to pay tribute include Microsoft CEO Satya Nadella and the Prime Minister of India, Narendra Modi. The professor was physically located at Cambridge University in England.
Lodhi also said that the people of Pakistan have great admiration for the people of Iran.
These caveats must be deliberated as the $62 billion China-Pakistan Economic Corridor approaches completion, with expansions already being explored such as between Gwadar and Chabahar. "We have also offered Pakistan and China to participate in Chabahar", Zarif said, according to Pakistani media.
In November past year, India delivered the first consignment of wheat to Afghanistan through the Chabahar Port.
Zarif had earlier held bilateral talks with his Pakistani counterpart Khawaja Asif and addressed a trade conference.
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In this context, India's not likely to be pleased with the Iranian foreign minister's comments.
India is set to start operations in this part of Chabahar with borrowed Iranian equipment by May-end.
"We are taking measures to do that and there is an open invitation to Pakistan to participate in that", Zarif said.
The Iranian top diplomat, who left Tehran for Islamabad on Sunday afternoon heading a 30-strong politico-economic delegation, arrived in Karachi on the second day of his visit to Pakistan on Tuesday. In a new low for ties, India-Pakistan relations are now caught in a vicious cycle of reprisals which was initiated because of, as Indian authorities say, a raid on a residential complex for Indian diplomats by ISI in Islamabad.
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Pakistan and Iran have had close ties in the past but recent regional alignments and Pakistan's tilt toward Saudi Arabia perturbed Iran, particularly the assignment of a Pakistani former army chief to head a Saudi-led 39-nation Islamic military coalition to combat terrorism.