PM Meles
Zenawi said he hoped to pull out his 3-4,000 troops within
a week, following days of heavy fighting.
However, the Union of Islamic Courts (UIC) says it has
made a strategic withdrawal from frontlines.
A UN envoy to Somalia has urged the Security Council to
call for a halt to fighting, or risk a broader conflict.
A failure to reach a political settlement "would be
disastrous for the long-suffering people of Somalia and
could also have serious consequences for the entire
region," Francois Lonseny Fall told the 15-nation council
in New York.
The Red Cross says it is treating more than 600
civilians and combatants injured during the fighting.
It has called on all sides to respect the rights of the
injured and prisoners.
'Out of the game'
Mr Meles told journalists Baidoa was no longer under
threat.
Ethiopia had already completed half its mission, he
claimed - saying many UIC members were "out of the game".
He claimed as many as 1,000 people had died and 3,000
were wounded.
Mr Meles said his forces had found evidence that people
from Eritrea and Britain were fighting alongside the UIC
militia.
On Sunday, Ethiopia admitted for the first time its
troops were fighting in the country, saying it was forced
to defend its sovereignty against "terrorists" and
anti-Ethiopians.
The UN estimates at least 8,000 Ethiopian troops may be
supporting the transitional government.
Earlier on Tuesday, the African Union (AU) said
Ethiopia had the right to intervene militarily in Somalia
as it felt threatened by the Islamic militia operating
there.
An AU official also acknowledged the body had failed to
"react properly and adequately" to the Somali situation.
'Surrender'
Ethiopian jets fired at Islamist positions for a third
day on Tuesday.
The town of Burhakaba, one of the Islamists' main
bases, is reported to have fallen to forces loyal to
Somalia's interim government.
In recent days, the area around the town - which is
close to Baidoa - has been the focus of heavy fighting
involving tanks and artillery.
Speaking from Burhakaba, the Somali deputy defence
minister, Salad Ali Jele, told the BBC the government
aimed to extend its control across the whole country.
"The people [in Mogadishu] are already expecting us,"
he said.
"We call on the Islamic Courts to surrender...
Mogadishu is the capital. It is our duty to go there."
But the Union of Islamic Courts described its reported
pullout from areas in central and southern Somalia as a
change of tactics.
A leading UIC official, Sheikh Sharif Sheikh Ahmed,
told reporters in Mogadishu that the retreat merely
signalled a new phase in the war.
"Since Ethiopia started using air power and heavy
artillery, we have changed our tactics and are getting
ready for a long war," he said.