The National Accountability Bureau (NAB) on Wednesday requested the Interior Ministry to place on the Exit Control List (ECL), the names of former prime minister Nawaz Sharif, his daughter Maryam, and son-in-law Captain (retd) Muhammad Safdar.
Nawaz, sons Hasan and Hussain are accused in the two references.
Four witnesses are expected to record their statements in the Avenfield reference today.
During the court proceedings today, Sharif's counsel pleaded the judge to grant his client a permission to visit his ailing wife in London by exempting the three from personal appearance before the court from February 19 to March 5.
On Wednesday, the NAB formally requested the Ministry of Interior to place the names of several members of Sharif family on the Exit Control List (ECL).
Sharif along with his sons-Hussain and Hassan - has been named in three NAB references, while his daughter Maryam Nawaz and son-in-law Capt. Safdar have been nominated in a reference with regard to the Sharif family's London-based Avenfield properties.
Meanwhile, Tallal Chaudhry said that according to the constitution of Pakistan no one could be barred from leaving the country without a reason. The high court also ordered the NAB to investigate and conduct a trial into the Sharif family's wider finances, including the London properties.
PML-N chief Nawaz Sharif had been attending all court hearings and the court would have directed for such an action if there would have been an issue, he added.
But they will return after a few days and will be present in the accountability court at the time of announcement of judgments in these cases.
"I don't accept such judicial verdicts", Nawaz Sharif said while talking to media after he came out of the Accountability Court in Islamabad.
The NAB filed three interim corruption references against the Sharif family in September past year in light of the Supreme Court's July 28 verdict in the Panama Papers case.