"I think we should engage back with them directly and see what can be done," the father said in an interview on Saturday.
The terrorist delegation, which also included Khaled Mashaal, also met with head of Turkey's National Intelligence Organization (MIT), Ibrahim Kalin.
Among the targets were terrorists, military structures and weapons storage facilities.
Despite the terror attack ultimately failing, the Israeli defendant remained active in ISIS and jihadist social media groups, and publicly expressed a desire to carry out terrorist acts.
Abdullah Haji Zada, 18, and Nasir Ahmad Tawhedi, 27, were arrested and charged with attempting to carry out an ISIS-inspired plot during the 2024 US Presidential Election.
The 12 attacks saw 166 people killed, including six victims at a Chabad house.
Jordan is usually seen as a stable country, but in recent years, there have been several Iranian-backed plots against Amman.
The suspect, Cody Balmer, called 911 operators on Sunday following the attack, saying he needed "to stop having my friends killed".
Earlier on Wednesday, Border Police officers arrested a 21-year-old Palestinian who hurled stones at security forces in the area.
In his letter, Kariv emphasized that the attack represented not just a threat to Shapiro personally but "an assault on the values of freedom, tolerance, and religious faith."