The Afghan government said it wouldn't release the last 320 prisoners until the insurgents free more captured soldiers.
Koofi survived a previous assassination attempt in 2010.
Prisoner releases on both sides are part of an agreement signed in February between the U.S. and Taliban.
Kabul officials denied unwarranted attacks on freed Taliban.
The declaration calls for an immediate start to negotiations and a cease-fire.
The Taliban have rejected any changes to the deal they signed in February with the U.S.
Pompeo declined to say whether he would recommend that Trump raise the matter with Putin.
Taliban spokesman Zabiullah Mujahed said commanders have been ordered not to carry out operations for three days and nights.
The prisoner swap has been a major stumbling block in getting Kabul and the Taliban to start peace talks.
The report estimated the membership of the Islamic State affiliate in Afghanistan at 2,200.
The open letter, published Thursday morning by National Security Leaders for Biden, contains 489 names.
Families of those lost in the USS Thresher tragedy are finally getting a look at hundreds of documents about the accident.
The campaign of President Donald Trump released a letter from 235 retired senior officers backing his re-election.
The America Class amphibious assault ship was virtually commissioned July 15 at its shipyard in Pascagoula, Miss.
Three Marines and a sailor have been bitten by a coyote on the loose at Camp Lejeune.