One of the men on the plane and an attorney for two others say ICE deprived the immigrants of adequate food and water and access to a bathroom during their two-day detention on board.
Trump lamented "the mess" he inherited in Afghanistan, Iraq, Syria and beyond, but promised "to get it all done."
More than 500 American troops are now stationed in the east African country.
Trump has increased the presence of U.S. troops in multiple theaters.
With double the number of airstrikes of 2016 and 400 U.S. soldiers on the ground, Washington's role in Mogadishu is expanding.
The airstrikes were conducted in northeastern Somalia.
The attack proved once again that insurgents can carry out deadly assaults in the heart of the Somali capital.
Reports predict that U.S. military involvement in the country may intensify as a result of Saturday's attack, putting more lives at risk, because Donald Trump has already loosened restrictions on U.S. commanders.
The driver of the truck reportedly came from a town outside Mogadishu, where a U.S.-led raid mistakenly killed 10 civilians in August.
The U.S. sent a military plane with supplies less than three days after the deadliest attack in the African country's history, but many Americans believe the country should help its citizens more, including Puerto Rico.
Washington has been fighting Al-Shabab for a decade in Somalia, but there's no end in sight.
Washington has been targeting the Al-Qaeda affiliate with airstrikes since at least 2007.
Mohamed Garfanje, the leader of the Hobyo-Haradhere Piracy Network, is a mastermind of kidnap and ransom.
Set to open next month in Somalia, this is the second Turkish overseas military installation, after a base in Qatar.
Somalia is fighting factions of both Al-Qaeda and ISIS. It needs American assistance.
Al-Shabab, which has ties to Al-Qaeda, is trying to oust the Western-backed government in Somalia.
China says the military move is one of peacekeeping, not aggression.
Trump's travel ban will affect people from Syria, Sudan, Somalia, Libya, Iran and Yemen.
Five things you may not know about refugees.
A suicide bomber drove a car into Posh Hotel, the Somali capital's only venue with a disco.
The 9th U.S. Circuit Court of Appeals cited a June 5 Trump tweet in its decision.
The Somali militant group has carried out multiple roadside bombings in Kenya recently, killing 20 police officers.