A spokesman for the Muslim Brotherhood condemned what he called the "abduction" of Osama, who is a lawyer.
There was no immediate official comment.
On Monday, the Morsi family has called on the United Nations to intervene to prevent alleged violations of Morsi`s human rights by the Egyptian authorities. Family members said they have been prevented from visiting the former president in prison since late 2013.
Egypt`s first-ever freely elected president, Morsi was ousted and imprisoned by the Egyptian military during a military coup carried out in mid-2013.
Morsi is currently serving out three lengthy jail terms for allegedly "killing protesters" and "spying" for Qatar.
He also continues to face charges of "insulting Egypt`s judiciary".
Like his co-defendants, Morsi maintains that all the charges against him are politically motivated.
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