The commander of the rebel group in Ethiopia's northern region of Tigray has said that they will continue fighting until their terms for a ceasefire are met.
The government denies there is a blockade and has ruled out talks.
Thousands have been killed since war broke out in November last year, BBC reported.
Millions of people have also been displaced by the fighting which both sides have been accused of committing human rights abuses and war crimes.
At least 400,000 people are living in famine conditions, according to a UN estimate, with access to the region still being hampered. UN World Food Programme lorries did manage to reach Tigray at the weekend after a long delay because of security concerns.