Minustah's agreement with the government states that bigger disputes should be handled by a special tribunal.
Last week, a special tribunal sentenced a former member of Jamaat-e-Islami to death in absentia.
BBC: Bangladesh strike over war crimes trials sparks clashes
The leader of Bangladesh's largest Islamist party has been charged with war crimes by a special tribunal.
And it is this prospect, more than the UN Special Tribunal, that is keeping Nasrallah up at nights.
Mullah is the second defendant to be found guilty by the special tribunal.
BBC: Huge Bangladesh rally seeks death penalty for war crimes
He is the second defendant to be found guilty by the special tribunal.
The Special Tribunal just indicted four Hezbollah operatives for their role in the 2005 assassination of former Lebanese prime minister Rafik Hariri.
As some of the cases at the special tribunal into war crimes have reached their final stages, there are concerns that Jamaat-e-Islami may intensify its protest.
The ICC was established as a permanent court, so a special tribunal did not have to be set up after each conflict in which war crimes were allegedly committed.
Badee' Arrif, an attorney representing former Deputy Prime Minister Tariq Aziz and two other defendants in another case before the Iraqi Special Tribunal, said the kidnapping would not deter him.
Massimiliano Latorre, one of the marines due to face trial by a special tribunal in India, appealed to Italian politicians on Monday to resolve a situation he described as a tragedy.
But on Saturday night, Nasrallah gave a speech in which he made clear that he has no intention whatsoever of cooperating with the Special Tribunal and that since he runs the show in Lebanon, Lebanon will not cooperate in any way with the UN judicial body.
Syria was working closely with Saudi Arabia, the regional patron of Mr Hariri and his Sunni community, to find a formula to defuse tensions in advance of indictments which the Special Tribunal for Lebanon (STL) is expected to issue within a matter of days, naming some Hezbollah members in connection with the murder of Lebanese former Prime Minister Rafik Hariri in 2005.
Former Liberian President Charles Taylor is also being tried at the The Hague but is being prosecuted by a special war crimes tribunal for Sierra Leone, rather than the ICC.
In June Robin Vincent, registrar at the Special Court for Sierra Leone, said the tribunal had hoped to send him abroad for medical treatment.
His trial is taking place at the International Criminal Tribunal for the former Yugoslavia in The Hague, Netherlands, a special court established to try those responsible for atrocities during the war.
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