The gutted silos, which had a storage capacity of more than 100,000 tonnes, have become emblematic of the catastrophic port blast, which took place on August 4 and has been widely blamed on government negligence.
Denying accusations that it had been storing arms at the Beirut port, Lebanon's powerful Hezbollah movement says the army should lead such a probe because it is "trusted" by all.
Fresh fighting comes days after Yemeni government accused Houthi rebels of breaching ceasefire and refusing to withdraw from port city in line with December agreement.
The key port city was reported to be calm early on Wednesday, a day after a UN-brokered ceasefire went into effect. The UN plans to bring the warring factions together by videolink to discuss a force withdrawal from the city.
Saudi-led air strikes hit the port in Yemen's Hudaida targeting its main port but the port remained open, officials say while diplomatic efforts appeared to have eased the fighting ahead of proposed peace talks in Sweden.
The Port of Mogadishu was a major transit route for European traders since the 1960s, but was shut down after war broke out in 1991.
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