Pakistan has made it clear it wants a part in so-called "reconciliation" efforts between the Taliban and the Afghan government, but many Afghans resent Pakistani involvement in their affairs and question its motives.
Karzai arrived in Islamabad on Wednesday evening and will stay through Thursday, said the state-owned news agency. He is to meet with top Pakistani officials including President Asif Ali Zardari and Prime Minister Yousuf Raza Gilani, according to the Pakistani Foreign Ministry.
It is the Afghan leader's first trip to Pakistan since he was re-elected.
Asked whether Pakistan will discuss handing Mullah Baradar over to Afghan authorities — which would likely mean the U.S. would have greater access to the Taliban commander — Foreign Ministry spokesman Abdul Basit said it was too soon to say.
"We are at present carrying out our own investigation," Basit told news channels. "Once our investigations conclude we will take it from there."