The event, the first such initiative of its kind in Iraq - a historic foe of Israel - was attended by more than 300 Iraqis, including tribal leaders.
The organizers, the New York-based Center for Peace Communications (CPC), advocate for normalizing relations between Israel and Arab countries, alongside working to establish ties between civil society organizations.
The Iraqi Kurdistan Regional Government (KRG) maintains cordial contacts with Israel, but the federal government in Baghdad, which has fought in Arab-Israeli wars, does not have diplomatic ties with Israel.
"We demand our integration into the Abraham Accords," said Sahar al-Tai, one of the attendees, reading a closing statement in a conference room at a hotel in the Kurdish regional capital Erbil.
"Just as these agreements provide for diplomatic relations between the signatories and Israel, we also want normal relations with Israel," she said.
"No force, local or foreign, has the right to prevent this call," added Tai, head of research at the Iraqi federal government's culture ministry.
However, Iraq's federal government rejected the conference's call for normalization in a statement on Saturday and dismissed the gathering as an "illegal meeting".
The conference "was not representative of the population's [opinion] and that of residents in Iraqi cities, in whose name these individuals purported to speak," the statement said.
The office of Iraq's President Barham Saleh, himself a Kurd, joined in the condemnation.
The powerful Shia cleric Muqtada Sadr urged the government to "arrest all the participants," while Ahmed Assadi, an MP with the ex-paramilitary group Hashd al-Shaabi, branded them "traitors in the eyes of the law".
The 300 participants at the conference came from across Iraq, according to CPC founder Joseph Braude, a US citizen of Iraqi-Jewish origin.
They included Sunni and Shia representatives from "six governorates: Baghdad, Mosul, Salaheddin, Al-Anbar, Diyala and Babylon," extending to tribal chiefs and "intellectuals and writers," he told AFP by phone.
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