Her lawyer Nabil Adib Abdalla told Reuters news agency that she should be free to travel.
"They are going to have very substantive meetings to finalize the negotiations, " Abdalla said.
CNN: South Sudan, Sudan talk to finalize border, other issues
That race will likely also include European operations chief Zein Abdalla, The Wall Street Journal reports.
FORBES: Pepsi Shuffles Executive Line-Up, Taps Wal-Mart Vet To Run U.S. Food
Since the storm, Ms. Abdalla said she had looked for apartments but has struggled to find something affordable.
Meanwhile, the victim and her family remain under guard after the threats were posted online, Abdalla told CNN.
Another possible crown prince is Zein Abdalla, boss of Pepsi's European business.
Sahem Abdalla, a Staten Island resident who operated a tutoring service inside her home, now lives in the Ramada Inn on the island.
The delegation held meetings with the Eritrean Foreign Minister, Ali Said Abdalla, who praised their efforts to build peace between the two countries.
BBC: Leaders at prayer in Asmara (pic: Jorge Aramburu/UNMEE)
It was later picked up by various Arab TV stations, with religious Egyptian TV channel al-Nas' presenter Sheikh Khalad Abdalla broadcasting scenes on 8 September.
Mr Baker said people who had tried to shield Abdalla Yones from police could now be investigated on suspicion of perverting the course of justice.
Speaking from Ethiopia, Sudanese official Badreldin Abdalla said there had been "progress" in the talks, which were broken into different "clusters" reflecting the specific issues being discussed.
CNN: South Sudan, Sudan talk to finalize border, other issues
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