Clashes broke out last week after months of tension between Ethiopia's government and the party that controls Tigray, with both sides accusing each other of violating a 2022 deal that ended a two-year civil war.
Social media clips showed army tanks and armoured vehicles passing through Alamata, according to the BBC. Hospital sources said the military had taken control of the town from regional fighters.
The fighting has also affected neighbouring areas. Thirty-three tourists have been stranded for the past week in Lalibela, a UNESCO World Heritage site famous for its 13th century rock-hewn churches. A British tourist told the BBC's Newsday programme that fighting, gunfire and artillery cannons had been heard throughout the week, and that a large military presence remained in the town. Most visitors have been unable to leave since the airport closed to commercial flights, though 14 Israeli tourists were evacuated by military helicopter on Monday.
Fighting around Lalibela has involved the army and an Amhara militia that has allied with Tigrayan fighters. In September, the two forces joined other Ethiopian armed movements to form a seven-member alliance with the stated intention of removing the government in Addis Ababa.
There are also fears that neighbouring Eritrea could be drawn into the conflict. Ethiopia's government accuses Asmara of supporting the armed groups, something Eritrea denies.