The 82-year-old opposition leader has been in jail since last April on charges of incitement against Kais Saieds rule.
As police and the national guard scour nearby Al Amra for a missing gun and ammunition, refugees are displaced again.
Omrane, who was briefly detained and questioned, is well known for publishing satirical cartoons featuring politicians.
The European Union is set to swiftly disburse 127 million euros as part of a July deal to halt irregular migration.
Il regime di Saied prevede condanne fino a 12 anni per chi intrattiene rapporti con «l?entità sionista». L?Italia ha aperto con i due Paesi dossier cruciali come migranti ed energia
The draft forbids recognition of the Zionist entity or the establishment of direct or indirect ties with it.
European aid is increasingly being used to prop up autocratic leaders who restrict their citizens rights, analysts say.
Inheritance, a sore point in the Muslim-majority country, was left out of earlier reforms that advanced womens rights.
Relatives go to The Hague to pressure the court to go after leaders in Tunis over alleged rights abuses.
The deaths include at least one child and two women, according to a judicial source.