Reports say at least three civilians and dozens of fighters died.
The two groups are battling for territory in the remote north of the country.
Around 2,000 members of the Afghan Ulema Council were meeting in Kabul when a lone bomber struck.
Two people were killed and 20 injured on the assault on Save the Children's offices in Jalalabad.
A string of recent attacks have targeted Shiite Muslims in Iraq and Iran.
Observers and U.S.-backed forces confirmed the majority of the casualties were civilians.
The car bomb attack also injures around 50 people, days after Somalia elected a new president.
Seven suicide bombers blew themselves up near a refugee camp on Friday.
The bomber struck as Shiite Muslims gathered for a major religious festival.
More than 80 were killed in the Islamic State attack on protesters from the mainly Shi'ite Hazara minority group.
Suicide bombings specifically are killing more people and spreading to more countries.
A report says half of the militant group's suicide attacks in Cameroon are carried out by children.
The European Court of Human Rights has ruled the shooting of Jean Charles de Menezes was 'lawful'.
More than 300 injured; Taliban faction Jamaat-ul-Ahrar claims responsibility for Easter attack against Christians.
The group's Yemeni wing has reportedly claimed responsibility for the attacks.
The bombing happened in a central shopping district in Turkey's largest city.