Mr. de Hoop Scheffer is traveling with NATO Supreme Allied Commander General John Craddock. They arrived in Kabul Thursday for a two-day visit.
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In addition to meeting with Mr. Karzai, they will get an update on the security situation from NATO's International Security Assistance Force commanders in Afghanistan.
The trip comes as NATO officials in Afghanistan say they are preparing for a Taleban offensive in the south of the country.
A NATO spokesman, Colonel Tom Collins, Wednesday said NATO expects increasing violence in the coming months as the weather improves in the rugged region.
Collins said NATO forces and Afghan troops will soon begin new operations in those areas.