Mali has been under military governance since August 2020, the first of eight coups in West and Central Africa over four years, including in its neighbors Burkina Faso and Niger.
Regional blocs have been trying to negotiate transitions, but the military juntas are dragging their feet.
Mali's current leadership seized power in a second 2021 coup and later promised to take 24 months from March 2022 to restore civilian rule.
The start date for the transitional period was March 26, 2024, and elections were to be held in February.
The West African nation passed a new electoral law in June 2022, but said in September last year that it would postpone the elections slated for February for technical reasons, sparking outrage among political groups.
Many reacted again after last month's transition deadline lapsed without a vote.
In a joint statement late on Sunday, some of Mali's main political parties and civil society groups called on authorities to set up an institutional framework for polls as soon as possible.
"We will use all legal and legitimate avenues for the return of normal constitutional order in our country," they said in the statement, which has over 20 signatories, including a major opposition coalition and the toppled ex-president's party.
The junta has not reacted.
Mali's military leaders already failed on a first promise to hold elections in February 2022, prompting stiff sanctions from the Economic Community of West African States, ECOWAS.
ECOWAS, West Africa's main political and economic body, eventually lifted Mali’s sanctions after the new electoral law was published.
Junta-led Chad is meanwhile scheduled to hold the first round of a presidential election next month in what would be the first of the region's military governments to restore constitutional rule.