According to the local officials, the incident took place late on Saturday night in the vicinity of Chora district of Uruzgan.
Provincial administrative chief Aminullah Khaleqi confirmed that nine Taliban insurgents were killed and at least eleven others were wounded during the clashes.
He said an Afghan army soldier also lost his life during the clashes and seven others were wounded.
The anti-government armed militant groups including Taliban insurgents have not commented regarding the report so far.
Uruzgan is among the relatively volatile provinces in the south where the anti-government armed militant groups are actively operating in its various districts and often carry out insurgency activities.
This comes as counter-terrorism operations are underway in various parts of Uruzgn province to suppress the militants who are attempting to expand their insurgency activities.
An Afghan military source in Uruzgan said nearly two weeks ago that a series of airstrikes were carried out in the vicinities of Khas Uruzgan and Chora districts which resulted into the killing of at least 28 militants while more than 15 others were wounded during the airstrikes.
According to the military source, the airstrikes were carried out by the Afghan Air Force.