Its director, Brhame Teame, takes pride in the centre's neutral stance.
"175 soldiers of the Ethiopian army were treated here during the war, even though they came to kill us," he said.
"We treat anyone who needs help."
'Overwhelmed'
On a recent visit by AFP, there were around 10 patients, including a young cancer patient getting used to her artificial legs as she worked her way along parallel bars.
Also visiting the centre was Saba Teklay, 25, who lost a forearm and leg when a building in central Mekele was bombed in the early weeks of the war.
She spent nearly a month in a coma and a further four months in hospital before heading to the rehab centre.
"I'm getting used to the prostheses that were made for me," said Teklay, who works in a bank.
The prostheses are made in a nearby workshop.
Hagos Girmay, 55, has been tailoring artificial limbs for patients since 2001.
During the war, "we were overwhelmed with work, we stayed every day until 10 pm", he said amid a din of mallet blows and drills.
He was himself disabled by a leg injury during the conflict with the Marxist regime known as the Derg, which ruled Ethiopia from 1974 to 1991.
"When I see a patient come with crutches and leave with artificial limbs when I see him regain his balance, I feel satisfaction," Hagos told AFP.
A peace deal signed in November 2022 has ended the fighting in Tigray, but Brhame worries about other conflicts raging in Ethiopia's most populous regions, Amhara and Oromia.
"We need peace in Ethiopia now, we are tired of wars."