Afghanistan says it has given Pakistan a list of 150 Taleban suspects living in Pakistan who they believe have carried out attacks in Afghanistan.
Mr Karzai is currently on a visit to Pakistan
A spokesman for Afghan President Hamid Karzai, who is currently visiting Pakistan, said some of the names on the list came with addresses attached.
Afghanistan has asked Pakistan to detain those appearing on it.
The leaders of Pakistan and Afghanistan discussed boosting cross-border security during talks on Wednesday.
Kabul wants Islamabad to crack down on Taleban rebels who launch attacks in Afghanistan. Pakistan denies claims it is lax on militants in border areas.
Afghanistan and Pakistan share a 1,400-mile (2,250km) border which is largely mountainous and extremely difficult to patrol.
Taleban and al-Qaeda elements are believed to be operating on both sides of the border.
The Taleban have been blamed for an increase in violence in recent months, including a spate of suicide bombings inside Afghanistan.