Nasart Rahimi, a deputy spokesman at the interior ministry, says security forces were searching every inch of Ghazni for Taliban fighters on Tuesday. Some soldiers were killed, some captured and some fled to nearby hills, ' Rezaee told AFP.
The US did agree to talk with the Taliban face-to-face after the group said that no peace negotiations with the Afghan government were possible without discussing the withdrawal of US troops with Washington.
Trump also gave the US military more leeway to attack the Taliban, and a few thousand additional USA troops were sent to Afghanistan this year as part of an effort to improve the effectiveness of training and advising Afghan ground forces, while also developing a small Afghan air force.
Tahir Rehmani - head of Faryab´s provincial council - said the base fell after the soldiers begged for reinforcements and air support from Kabul but were ultimately ignored.
Taliban spokesman Zabihullah Mujahid denies the insurgents have been routed from Ghazni and says sporadic gunbattles are still ongoing.
Afghan security forces, beset by killings, desertions and under intense pressure, have been struggling to beat back insurgents since US-led North Atlantic Treaty Organisation troops ended their combat mission in December 2014.
The violence has shattered faint hope for moves towards a peace process generated by an unprecedented three-day truce during the Eid Al Fitr holiday in June, and a Taliban report late last month of a meeting between a senior USA diplomat and Taliban representatives in Doha.
A spokesman for the USA military, Lt. Col. Martin O'Donnell, said the city "remains under Afghan government control, and the isolated and disparate Taliban forces remaining in the city do not pose a threat to its collapse, as some have claimed".
Analysts have said the insurgents may be seeking to demonstrate strength as they come under increasing pressure to join peace takls after the ceasefire during Eid in June.
The fighting brought civilian life in the city to a standstill, and also severely damaged Ghazni's historic neighborhoods and cultural treasures.
A spokesman for US Forces in Afghanistan, Lt Col Martin O'Donnell, said there had been "no reported enemy activity" so far on Tuesday, though he added that "some Taliban forces remain in the city".
Afghan-based political analyst Haroun Mir said generals in the field have also been hobbled by Kabul, citing Afghan President Ashraf Ghani's reputation for micromanagement as a hindrance.
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"The Taliban know this and they make Afghan forces fight on several fronts, making them run thin and vulnerable to their mobile attacks", said Sofof.
Afghan authorities insist the city will not fall to the Taliban and that Afghan forces are in control of key government positions and other institutions.
Communication networks remained largely down in Ghazni, making any information hard to verify.
He said and an extra 1,000 troops had been sent to Ghazni city to fully bring the situation under control.
"The city became so unsafe", the 60-year-old Mustafa told The Associated Press while stopped briefly at a checkpoint where police searched for wounded Taliban fighters.
"Those who can are fleeing".
'I saw two trucks full of coffins going toward a cemetery in the city.
A doctor in the hospital s intensive care unit said they had received over 80 dead bodies as of Sunday and had treated more than 160 patients, many of whom were had been injured by gunshots or shrapnel.
An Afghan soldier inspects a passenger at a checkpoint on the Ghazni-Kabul highway, August 14, 2018, after troops fought to repel a Taliban attack.
Other residents have told AFP of bodies littering the streets of the city in recent days. The numbers still need to be verified, ' said a report by the UN Office for the Coordination of Humanitarian Affairs.
Bombs placed along the road leading north and south from the city also "prevented civilians from safely fleeing the violence", said a United Nations report.
Hundreds of people have been killed and wounded in the fighting, some of the heaviest seen in Afghanistan since the Taliban seized the northern city of Kunduz in 2015.