Heavy fighting was underway near the northern city's airport where government forces retreated, highlighting the potent challenge the militants pose after their lightning capture of Kunduz.
The Taliban's occupation,now in its third day raises troubling questions about the capabilities of Afghan forces as they battle the militants largely on their own after NATO's combat mission ended last December.
The Afghan army was supposed to be bolstered by its own reinforcements for the campaign to retake Kunduz, but attacks on convoys making their way to the city meant that back up troops were only trickling in.
"The Taliban have laid landmines and booby traps around Kunduz, slowing the movement of convoys of Afghan army reinforcements driving to the city," an Afghan security official said.
The forces are comprised of US, British and German troops, a Western military source said on condition of anonymity, without specifying the number.
The Afghan spy agency said the overnight strikes killed Mawlawi Salam, the Taliban's 'shadow governor' for the province, along with his deputy and 15 other fighters.
But the fall of the provincial capital, which sent thousands of panicked residents fleeing, has dealt a major blow to the Afghan military and highlighted the insurgency's potential to expand beyond its rural strongholds.
The Afghan security official said the militants had slowly infiltrated Kunduz during the recent Eid festival, launching a Trojan horse attack that enabled them to capture it within hours.

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