The proposal, though, was said by Ethiopia to be unnecessary because fighting had already stopped.

Hamdok, who was accompanied by Sudanese security officials, planned to present his concerns about threats to Sudan's security along its border with Tigray during the visit, the officials said.

However, Hamdok returned within a few hours from what Ethiopian Prime Minister Abiy Ahmed had earlier described as a two-day trip.

Fighting erupted on November 4 between Ethiopia's government and the then-governing party in Tigray, the Tigray People's Liberation Front (TPLF).

Thousands of people are believed to have been killed and more than 950,000 displaced, some 50,000 of them into Sudan, according to UN estimates.

Abiy's government declared victory over the TPLF after its forces took control of the regional capital, Mekelle, on November 29.

The TPLF has said it is continuing to fight from mountains surrounding Mekelle.

Abiy welcomed Hamdok, and later tweeted that he and the Sudanese delegation had good discussions "during which we reached an understanding on various issues that will further augment cooperation between our two countries".

He made no mention of an offer from Sudan to broker a ceasefire or mediate the Tigray conflict.

"Mediate what?" Billene Seyoum, Abiy's spokeswoman, said when asked by Reuters for information about this offer.

"The military altercation has ceased with the command of Mekelle ... The provisional administration has set up and a regional council formed in Tigray."

"Remnants of the criminal clique have fled," she added, referring to the TPLF.

Australian Associated Press