Videos posted online by Iranian news agencies, purportedly from Chabahar, showed thick smoke rising in the area after the blast.
"This was a blind terrorist attack", Pakpur told the semiofficial Tasnim news agency.
"The terrorists tried to enter Chabahar police headquarters but they were prevented by the guards and they detonated the vehicle bomb", Marashi said without elaborating on how many assailants took part.
Although rare, Iran has been targeted in recent years by militant attacks. No militant group immediately claimed responsibility for the attack.
Iranian authorities said Rigi who headed the militant group Jundollah was captured on a flight from Dubai to Kyrgyzstan.
Ansar al-Furqan is known to operate in Sistan and Baluchistan province, which sees occasional attacks by Baluch separatists and drug traffickers.
Al-Furqan in 2017 claimed responsibility for bombing an oil pipeline in the southwestern province of Khuzestan.
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Separately, Brigadier General Ramezan Sharif, the spokesman of Iran's Revolution Guards Corps (IRGC), vowed a "crushing response" not only to the terrorists who carried out the attack but also to the "groups backing them".
In 2010, two suicide bombers killed at least 28 people, including some of Iran's elite Revolutionary Guards, at a mosque in southeast Iran, an attack Iranian leaders said was backed by the United States.
Iran says armed groups have safe havens in Pakistan and has warned it will hit their bases there if Islamabad does not confront them.
Pakistan strongly condemns terrorist vehicle bomb attack in Chahbahar in brotherly neighbouring Iran that has taken lives of 3 innocent people while injuring others.
Chabahar, near Iran's border with Pakistan on the Sea of Oman, is home to a newly built port and is an economic free zone.
"Mark my words: Iran WILL bring terrorists & their masters to justice", the foreign minister emphasized.
It hosts the operation of a joint port project between Iran and India. "There can be no justification for any act of terror", the ministry said.